Thermodynamic Processes
PHXI12:THERMODYNAMICS

371538 A container having 1 mole of a gas at a temperature \(27^\circ C\) has a movable piston which maintains at constant pressure in container of 1 atm. The gas is compressed until temperature becomes \(127^\circ C\). The work done is \(\left( {{C_p}} \right.\) for gas is \(\left. {7.03{\mkern 1mu} \,cal/mol{\mkern 1mu} K} \right)\)

1 \(831\;J\)
2 \(703\;J\)
3 \(2035\;J\)
4 \(121\;J\)
PHXI12:THERMODYNAMICS

371539 The equation of state for a gas is given by
\(P V=n R T+\alpha V\), where \(\mathrm{n}\) is the number of moles and \(\alpha\) is a positive constant. The initial temperature and pressure of one mole of the gas contained in a cylinder are \(T_{0}\) and \(P_{0}\) respectively. The work done by the gas when its temperature doubles isobarically will be:

1 \(\dfrac{P_{0} T_{0} R}{P_{0}-\alpha}\)
2 \(\dfrac{P_{0} T_{0} R}{P_{0}+\alpha}\)
3 \({P_0}{T_0}R\,In\,2\)
4 \(P_{0} T_{0} R\)
PHXI12:THERMODYNAMICS

371540 A diatomic gas \({(\gamma=1.4)}\) does \({100 J}\) of work in an isobaric expansion. The heat given to the gas is

1 \(150\,J\)
2 \({250 J}\)
3 \(490{\text{ }}J\)
4 \(350{\text{ }}J\)
PHXI12:THERMODYNAMICS

371541 A gas expands under constant pressure \(P\) from volume \(V_{1}\) to \(V_{2}\). The work done by the gas is

1 \(P=\dfrac{V_{1} V_{2}}{V_{2}-V_{1}}\)
2 \(P\left(V_{1}^{\gamma}-V_{2}^{\gamma}\right)\)
3 \(P\left(V_{1}-V_{2}\right)\)
4 \(P\left(V_{2}-V_{1}\right)\)
PHXI12:THERMODYNAMICS

371542 A vessel contains an ideal monoatomic gas which expands at constant pressure, when heat \(Q\) is given to it. Then the work done in expansion is

1 \(\frac{3}{5}Q\)
2 \(Q\)
3 \(\dfrac{2}{3} Q\)
4 \(\dfrac{2}{5} Q\)
PHXI12:THERMODYNAMICS

371538 A container having 1 mole of a gas at a temperature \(27^\circ C\) has a movable piston which maintains at constant pressure in container of 1 atm. The gas is compressed until temperature becomes \(127^\circ C\). The work done is \(\left( {{C_p}} \right.\) for gas is \(\left. {7.03{\mkern 1mu} \,cal/mol{\mkern 1mu} K} \right)\)

1 \(831\;J\)
2 \(703\;J\)
3 \(2035\;J\)
4 \(121\;J\)
PHXI12:THERMODYNAMICS

371539 The equation of state for a gas is given by
\(P V=n R T+\alpha V\), where \(\mathrm{n}\) is the number of moles and \(\alpha\) is a positive constant. The initial temperature and pressure of one mole of the gas contained in a cylinder are \(T_{0}\) and \(P_{0}\) respectively. The work done by the gas when its temperature doubles isobarically will be:

1 \(\dfrac{P_{0} T_{0} R}{P_{0}-\alpha}\)
2 \(\dfrac{P_{0} T_{0} R}{P_{0}+\alpha}\)
3 \({P_0}{T_0}R\,In\,2\)
4 \(P_{0} T_{0} R\)
PHXI12:THERMODYNAMICS

371540 A diatomic gas \({(\gamma=1.4)}\) does \({100 J}\) of work in an isobaric expansion. The heat given to the gas is

1 \(150\,J\)
2 \({250 J}\)
3 \(490{\text{ }}J\)
4 \(350{\text{ }}J\)
PHXI12:THERMODYNAMICS

371541 A gas expands under constant pressure \(P\) from volume \(V_{1}\) to \(V_{2}\). The work done by the gas is

1 \(P=\dfrac{V_{1} V_{2}}{V_{2}-V_{1}}\)
2 \(P\left(V_{1}^{\gamma}-V_{2}^{\gamma}\right)\)
3 \(P\left(V_{1}-V_{2}\right)\)
4 \(P\left(V_{2}-V_{1}\right)\)
PHXI12:THERMODYNAMICS

371542 A vessel contains an ideal monoatomic gas which expands at constant pressure, when heat \(Q\) is given to it. Then the work done in expansion is

1 \(\frac{3}{5}Q\)
2 \(Q\)
3 \(\dfrac{2}{3} Q\)
4 \(\dfrac{2}{5} Q\)
PHXI12:THERMODYNAMICS

371538 A container having 1 mole of a gas at a temperature \(27^\circ C\) has a movable piston which maintains at constant pressure in container of 1 atm. The gas is compressed until temperature becomes \(127^\circ C\). The work done is \(\left( {{C_p}} \right.\) for gas is \(\left. {7.03{\mkern 1mu} \,cal/mol{\mkern 1mu} K} \right)\)

1 \(831\;J\)
2 \(703\;J\)
3 \(2035\;J\)
4 \(121\;J\)
PHXI12:THERMODYNAMICS

371539 The equation of state for a gas is given by
\(P V=n R T+\alpha V\), where \(\mathrm{n}\) is the number of moles and \(\alpha\) is a positive constant. The initial temperature and pressure of one mole of the gas contained in a cylinder are \(T_{0}\) and \(P_{0}\) respectively. The work done by the gas when its temperature doubles isobarically will be:

1 \(\dfrac{P_{0} T_{0} R}{P_{0}-\alpha}\)
2 \(\dfrac{P_{0} T_{0} R}{P_{0}+\alpha}\)
3 \({P_0}{T_0}R\,In\,2\)
4 \(P_{0} T_{0} R\)
PHXI12:THERMODYNAMICS

371540 A diatomic gas \({(\gamma=1.4)}\) does \({100 J}\) of work in an isobaric expansion. The heat given to the gas is

1 \(150\,J\)
2 \({250 J}\)
3 \(490{\text{ }}J\)
4 \(350{\text{ }}J\)
PHXI12:THERMODYNAMICS

371541 A gas expands under constant pressure \(P\) from volume \(V_{1}\) to \(V_{2}\). The work done by the gas is

1 \(P=\dfrac{V_{1} V_{2}}{V_{2}-V_{1}}\)
2 \(P\left(V_{1}^{\gamma}-V_{2}^{\gamma}\right)\)
3 \(P\left(V_{1}-V_{2}\right)\)
4 \(P\left(V_{2}-V_{1}\right)\)
PHXI12:THERMODYNAMICS

371542 A vessel contains an ideal monoatomic gas which expands at constant pressure, when heat \(Q\) is given to it. Then the work done in expansion is

1 \(\frac{3}{5}Q\)
2 \(Q\)
3 \(\dfrac{2}{3} Q\)
4 \(\dfrac{2}{5} Q\)
PHXI12:THERMODYNAMICS

371538 A container having 1 mole of a gas at a temperature \(27^\circ C\) has a movable piston which maintains at constant pressure in container of 1 atm. The gas is compressed until temperature becomes \(127^\circ C\). The work done is \(\left( {{C_p}} \right.\) for gas is \(\left. {7.03{\mkern 1mu} \,cal/mol{\mkern 1mu} K} \right)\)

1 \(831\;J\)
2 \(703\;J\)
3 \(2035\;J\)
4 \(121\;J\)
PHXI12:THERMODYNAMICS

371539 The equation of state for a gas is given by
\(P V=n R T+\alpha V\), where \(\mathrm{n}\) is the number of moles and \(\alpha\) is a positive constant. The initial temperature and pressure of one mole of the gas contained in a cylinder are \(T_{0}\) and \(P_{0}\) respectively. The work done by the gas when its temperature doubles isobarically will be:

1 \(\dfrac{P_{0} T_{0} R}{P_{0}-\alpha}\)
2 \(\dfrac{P_{0} T_{0} R}{P_{0}+\alpha}\)
3 \({P_0}{T_0}R\,In\,2\)
4 \(P_{0} T_{0} R\)
PHXI12:THERMODYNAMICS

371540 A diatomic gas \({(\gamma=1.4)}\) does \({100 J}\) of work in an isobaric expansion. The heat given to the gas is

1 \(150\,J\)
2 \({250 J}\)
3 \(490{\text{ }}J\)
4 \(350{\text{ }}J\)
PHXI12:THERMODYNAMICS

371541 A gas expands under constant pressure \(P\) from volume \(V_{1}\) to \(V_{2}\). The work done by the gas is

1 \(P=\dfrac{V_{1} V_{2}}{V_{2}-V_{1}}\)
2 \(P\left(V_{1}^{\gamma}-V_{2}^{\gamma}\right)\)
3 \(P\left(V_{1}-V_{2}\right)\)
4 \(P\left(V_{2}-V_{1}\right)\)
PHXI12:THERMODYNAMICS

371542 A vessel contains an ideal monoatomic gas which expands at constant pressure, when heat \(Q\) is given to it. Then the work done in expansion is

1 \(\frac{3}{5}Q\)
2 \(Q\)
3 \(\dfrac{2}{3} Q\)
4 \(\dfrac{2}{5} Q\)
PHXI12:THERMODYNAMICS

371538 A container having 1 mole of a gas at a temperature \(27^\circ C\) has a movable piston which maintains at constant pressure in container of 1 atm. The gas is compressed until temperature becomes \(127^\circ C\). The work done is \(\left( {{C_p}} \right.\) for gas is \(\left. {7.03{\mkern 1mu} \,cal/mol{\mkern 1mu} K} \right)\)

1 \(831\;J\)
2 \(703\;J\)
3 \(2035\;J\)
4 \(121\;J\)
PHXI12:THERMODYNAMICS

371539 The equation of state for a gas is given by
\(P V=n R T+\alpha V\), where \(\mathrm{n}\) is the number of moles and \(\alpha\) is a positive constant. The initial temperature and pressure of one mole of the gas contained in a cylinder are \(T_{0}\) and \(P_{0}\) respectively. The work done by the gas when its temperature doubles isobarically will be:

1 \(\dfrac{P_{0} T_{0} R}{P_{0}-\alpha}\)
2 \(\dfrac{P_{0} T_{0} R}{P_{0}+\alpha}\)
3 \({P_0}{T_0}R\,In\,2\)
4 \(P_{0} T_{0} R\)
PHXI12:THERMODYNAMICS

371540 A diatomic gas \({(\gamma=1.4)}\) does \({100 J}\) of work in an isobaric expansion. The heat given to the gas is

1 \(150\,J\)
2 \({250 J}\)
3 \(490{\text{ }}J\)
4 \(350{\text{ }}J\)
PHXI12:THERMODYNAMICS

371541 A gas expands under constant pressure \(P\) from volume \(V_{1}\) to \(V_{2}\). The work done by the gas is

1 \(P=\dfrac{V_{1} V_{2}}{V_{2}-V_{1}}\)
2 \(P\left(V_{1}^{\gamma}-V_{2}^{\gamma}\right)\)
3 \(P\left(V_{1}-V_{2}\right)\)
4 \(P\left(V_{2}-V_{1}\right)\)
PHXI12:THERMODYNAMICS

371542 A vessel contains an ideal monoatomic gas which expands at constant pressure, when heat \(Q\) is given to it. Then the work done in expansion is

1 \(\frac{3}{5}Q\)
2 \(Q\)
3 \(\dfrac{2}{3} Q\)
4 \(\dfrac{2}{5} Q\)