371561
A cylinder of fixed capacity (of \(44.8 \mathrm{~L}\) ) contains 2 moles of helium gas at STP. What is the amount of heat needed to raise the temperature of the gas in the cylinder by \(20^\circ C\) ? (Take, \(R = 8.31{\mkern 1mu} {\mkern 1mu} Jmo{l^{ - 1}}{K^{ - 1}}\))
1 \(996\;J\)
2 \(831 J\)
3 \(499\;J\)
4 \(374 J\)
Explanation:
Since, the volume of cylinder is fixed and helium is a monoatomic gas. The internal energy \(=\mu C_{V} \Delta T\) \(\begin{aligned}\Rightarrow \quad U & =\dfrac{1}{2} f \mu R \Delta T\left[\therefore C_{V}=\dfrac{1}{2} f R\right] \\U & =\dfrac{1}{2} \times 3 \times 2 \times 8.31 \times 20 \\& =498.6 \approx 499 \mathrm{~J} \quad(\because f=3)\end{aligned}\)
PHXI12:THERMODYNAMICS
371562
In the equation \(P V^{\gamma}=\) constant, the value of \(\gamma\) is unity. Then the process is
1 Isothermal
2 Adiabatic
3 Isobaric
4 Irreversible
Explanation:
\(P V=\) constant represent isothermal process
PHXI12:THERMODYNAMICS
371563
A container that suits the occurence of an isothermal process should be made of
1 Copper
2 Wood
3 Glass
4 Cloth
Explanation:
An isothermal process takes place at constant temperature, must be carried out in a vessel with conducting wall so that heat generated should go out at once. Correct option is (1).
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PHXI12:THERMODYNAMICS
371560
\(d U=d Q\) is valid for
1 Adiabatic process
2 Isothermal process
3 Isobaric process
4 Isochoric process
Explanation:
Conceptual Question
PHXI12:THERMODYNAMICS
371561
A cylinder of fixed capacity (of \(44.8 \mathrm{~L}\) ) contains 2 moles of helium gas at STP. What is the amount of heat needed to raise the temperature of the gas in the cylinder by \(20^\circ C\) ? (Take, \(R = 8.31{\mkern 1mu} {\mkern 1mu} Jmo{l^{ - 1}}{K^{ - 1}}\))
1 \(996\;J\)
2 \(831 J\)
3 \(499\;J\)
4 \(374 J\)
Explanation:
Since, the volume of cylinder is fixed and helium is a monoatomic gas. The internal energy \(=\mu C_{V} \Delta T\) \(\begin{aligned}\Rightarrow \quad U & =\dfrac{1}{2} f \mu R \Delta T\left[\therefore C_{V}=\dfrac{1}{2} f R\right] \\U & =\dfrac{1}{2} \times 3 \times 2 \times 8.31 \times 20 \\& =498.6 \approx 499 \mathrm{~J} \quad(\because f=3)\end{aligned}\)
PHXI12:THERMODYNAMICS
371562
In the equation \(P V^{\gamma}=\) constant, the value of \(\gamma\) is unity. Then the process is
1 Isothermal
2 Adiabatic
3 Isobaric
4 Irreversible
Explanation:
\(P V=\) constant represent isothermal process
PHXI12:THERMODYNAMICS
371563
A container that suits the occurence of an isothermal process should be made of
1 Copper
2 Wood
3 Glass
4 Cloth
Explanation:
An isothermal process takes place at constant temperature, must be carried out in a vessel with conducting wall so that heat generated should go out at once. Correct option is (1).
371561
A cylinder of fixed capacity (of \(44.8 \mathrm{~L}\) ) contains 2 moles of helium gas at STP. What is the amount of heat needed to raise the temperature of the gas in the cylinder by \(20^\circ C\) ? (Take, \(R = 8.31{\mkern 1mu} {\mkern 1mu} Jmo{l^{ - 1}}{K^{ - 1}}\))
1 \(996\;J\)
2 \(831 J\)
3 \(499\;J\)
4 \(374 J\)
Explanation:
Since, the volume of cylinder is fixed and helium is a monoatomic gas. The internal energy \(=\mu C_{V} \Delta T\) \(\begin{aligned}\Rightarrow \quad U & =\dfrac{1}{2} f \mu R \Delta T\left[\therefore C_{V}=\dfrac{1}{2} f R\right] \\U & =\dfrac{1}{2} \times 3 \times 2 \times 8.31 \times 20 \\& =498.6 \approx 499 \mathrm{~J} \quad(\because f=3)\end{aligned}\)
PHXI12:THERMODYNAMICS
371562
In the equation \(P V^{\gamma}=\) constant, the value of \(\gamma\) is unity. Then the process is
1 Isothermal
2 Adiabatic
3 Isobaric
4 Irreversible
Explanation:
\(P V=\) constant represent isothermal process
PHXI12:THERMODYNAMICS
371563
A container that suits the occurence of an isothermal process should be made of
1 Copper
2 Wood
3 Glass
4 Cloth
Explanation:
An isothermal process takes place at constant temperature, must be carried out in a vessel with conducting wall so that heat generated should go out at once. Correct option is (1).
371561
A cylinder of fixed capacity (of \(44.8 \mathrm{~L}\) ) contains 2 moles of helium gas at STP. What is the amount of heat needed to raise the temperature of the gas in the cylinder by \(20^\circ C\) ? (Take, \(R = 8.31{\mkern 1mu} {\mkern 1mu} Jmo{l^{ - 1}}{K^{ - 1}}\))
1 \(996\;J\)
2 \(831 J\)
3 \(499\;J\)
4 \(374 J\)
Explanation:
Since, the volume of cylinder is fixed and helium is a monoatomic gas. The internal energy \(=\mu C_{V} \Delta T\) \(\begin{aligned}\Rightarrow \quad U & =\dfrac{1}{2} f \mu R \Delta T\left[\therefore C_{V}=\dfrac{1}{2} f R\right] \\U & =\dfrac{1}{2} \times 3 \times 2 \times 8.31 \times 20 \\& =498.6 \approx 499 \mathrm{~J} \quad(\because f=3)\end{aligned}\)
PHXI12:THERMODYNAMICS
371562
In the equation \(P V^{\gamma}=\) constant, the value of \(\gamma\) is unity. Then the process is
1 Isothermal
2 Adiabatic
3 Isobaric
4 Irreversible
Explanation:
\(P V=\) constant represent isothermal process
PHXI12:THERMODYNAMICS
371563
A container that suits the occurence of an isothermal process should be made of
1 Copper
2 Wood
3 Glass
4 Cloth
Explanation:
An isothermal process takes place at constant temperature, must be carried out in a vessel with conducting wall so that heat generated should go out at once. Correct option is (1).