Thermodynamic Processes
PHXI12:THERMODYNAMICS

371608 An ideal gas is taken through a quasi-static process described by \(P=\alpha V^{2}\), with \(\alpha = 5.00\;atm/{m^6}\). The gas is expanded to twice its original volume of \(1.00\;{m^3}\). How much work is done by the gas in expanding gas in this process?

1 \(2.18\,MJ\)
2 \(1.18\,MJ\)
3 \(3.18\,MJ\)
4 \(1.28\,MJ\)
PHXI12:THERMODYNAMICS

371609 The pressure and volume of an ideal gas are related as \({P V^{3 / 2}=K}\) (constant). The work done when the gas is taken from state \({A\left(P_{1}, V_{1}, T_{1}\right)}\) to state \({B\left(P_{2}, V_{2}, T_{2}\right)}\) is

1 \({2\left(P_{2} V_{2}-P_{1} V_{1}\right)}\)
2 \({2\left(P_{1} V_{1}-P_{2} V_{2}\right)}\)
3 \({2\left(P_{2} \sqrt{V_{2}}-P_{1} \sqrt{V_{1}}\right)}\)
4 \({2\left(\sqrt{P_{1}} V_{1}-\sqrt{P_{2}} V_{2}\right)}\)
PHXI12:THERMODYNAMICS

371610 For a process of monoatomic gas pressure \((P)\) and volume \((V)\) related as \(P V^{-3}=\) constant. What will be the molar heat capacity of gas ?

1 \(\dfrac{5 R}{3}\)
2 \(\dfrac{3}{5} R\)
3 \(\dfrac{7}{4} R\)
4 \(\dfrac{R}{4}\)
PHXI12:THERMODYNAMICS

371611 A gas consisting of rigid diatomic molecules was expanded in a polytropic process so that the rate of collisions of the molecules against the vessel's wall did not change. Find the molar heat capacity of the gas in this process is found to be '\({x R}\)', the value of \({x}\) is

1 \(1\,R\)
2 \(7\,R\)
3 \(3\,R\)
4 \(8\,R\)
PHXI12:THERMODYNAMICS

371608 An ideal gas is taken through a quasi-static process described by \(P=\alpha V^{2}\), with \(\alpha = 5.00\;atm/{m^6}\). The gas is expanded to twice its original volume of \(1.00\;{m^3}\). How much work is done by the gas in expanding gas in this process?

1 \(2.18\,MJ\)
2 \(1.18\,MJ\)
3 \(3.18\,MJ\)
4 \(1.28\,MJ\)
PHXI12:THERMODYNAMICS

371609 The pressure and volume of an ideal gas are related as \({P V^{3 / 2}=K}\) (constant). The work done when the gas is taken from state \({A\left(P_{1}, V_{1}, T_{1}\right)}\) to state \({B\left(P_{2}, V_{2}, T_{2}\right)}\) is

1 \({2\left(P_{2} V_{2}-P_{1} V_{1}\right)}\)
2 \({2\left(P_{1} V_{1}-P_{2} V_{2}\right)}\)
3 \({2\left(P_{2} \sqrt{V_{2}}-P_{1} \sqrt{V_{1}}\right)}\)
4 \({2\left(\sqrt{P_{1}} V_{1}-\sqrt{P_{2}} V_{2}\right)}\)
PHXI12:THERMODYNAMICS

371610 For a process of monoatomic gas pressure \((P)\) and volume \((V)\) related as \(P V^{-3}=\) constant. What will be the molar heat capacity of gas ?

1 \(\dfrac{5 R}{3}\)
2 \(\dfrac{3}{5} R\)
3 \(\dfrac{7}{4} R\)
4 \(\dfrac{R}{4}\)
PHXI12:THERMODYNAMICS

371611 A gas consisting of rigid diatomic molecules was expanded in a polytropic process so that the rate of collisions of the molecules against the vessel's wall did not change. Find the molar heat capacity of the gas in this process is found to be '\({x R}\)', the value of \({x}\) is

1 \(1\,R\)
2 \(7\,R\)
3 \(3\,R\)
4 \(8\,R\)
PHXI12:THERMODYNAMICS

371608 An ideal gas is taken through a quasi-static process described by \(P=\alpha V^{2}\), with \(\alpha = 5.00\;atm/{m^6}\). The gas is expanded to twice its original volume of \(1.00\;{m^3}\). How much work is done by the gas in expanding gas in this process?

1 \(2.18\,MJ\)
2 \(1.18\,MJ\)
3 \(3.18\,MJ\)
4 \(1.28\,MJ\)
PHXI12:THERMODYNAMICS

371609 The pressure and volume of an ideal gas are related as \({P V^{3 / 2}=K}\) (constant). The work done when the gas is taken from state \({A\left(P_{1}, V_{1}, T_{1}\right)}\) to state \({B\left(P_{2}, V_{2}, T_{2}\right)}\) is

1 \({2\left(P_{2} V_{2}-P_{1} V_{1}\right)}\)
2 \({2\left(P_{1} V_{1}-P_{2} V_{2}\right)}\)
3 \({2\left(P_{2} \sqrt{V_{2}}-P_{1} \sqrt{V_{1}}\right)}\)
4 \({2\left(\sqrt{P_{1}} V_{1}-\sqrt{P_{2}} V_{2}\right)}\)
PHXI12:THERMODYNAMICS

371610 For a process of monoatomic gas pressure \((P)\) and volume \((V)\) related as \(P V^{-3}=\) constant. What will be the molar heat capacity of gas ?

1 \(\dfrac{5 R}{3}\)
2 \(\dfrac{3}{5} R\)
3 \(\dfrac{7}{4} R\)
4 \(\dfrac{R}{4}\)
PHXI12:THERMODYNAMICS

371611 A gas consisting of rigid diatomic molecules was expanded in a polytropic process so that the rate of collisions of the molecules against the vessel's wall did not change. Find the molar heat capacity of the gas in this process is found to be '\({x R}\)', the value of \({x}\) is

1 \(1\,R\)
2 \(7\,R\)
3 \(3\,R\)
4 \(8\,R\)
PHXI12:THERMODYNAMICS

371608 An ideal gas is taken through a quasi-static process described by \(P=\alpha V^{2}\), with \(\alpha = 5.00\;atm/{m^6}\). The gas is expanded to twice its original volume of \(1.00\;{m^3}\). How much work is done by the gas in expanding gas in this process?

1 \(2.18\,MJ\)
2 \(1.18\,MJ\)
3 \(3.18\,MJ\)
4 \(1.28\,MJ\)
PHXI12:THERMODYNAMICS

371609 The pressure and volume of an ideal gas are related as \({P V^{3 / 2}=K}\) (constant). The work done when the gas is taken from state \({A\left(P_{1}, V_{1}, T_{1}\right)}\) to state \({B\left(P_{2}, V_{2}, T_{2}\right)}\) is

1 \({2\left(P_{2} V_{2}-P_{1} V_{1}\right)}\)
2 \({2\left(P_{1} V_{1}-P_{2} V_{2}\right)}\)
3 \({2\left(P_{2} \sqrt{V_{2}}-P_{1} \sqrt{V_{1}}\right)}\)
4 \({2\left(\sqrt{P_{1}} V_{1}-\sqrt{P_{2}} V_{2}\right)}\)
PHXI12:THERMODYNAMICS

371610 For a process of monoatomic gas pressure \((P)\) and volume \((V)\) related as \(P V^{-3}=\) constant. What will be the molar heat capacity of gas ?

1 \(\dfrac{5 R}{3}\)
2 \(\dfrac{3}{5} R\)
3 \(\dfrac{7}{4} R\)
4 \(\dfrac{R}{4}\)
PHXI12:THERMODYNAMICS

371611 A gas consisting of rigid diatomic molecules was expanded in a polytropic process so that the rate of collisions of the molecules against the vessel's wall did not change. Find the molar heat capacity of the gas in this process is found to be '\({x R}\)', the value of \({x}\) is

1 \(1\,R\)
2 \(7\,R\)
3 \(3\,R\)
4 \(8\,R\)