1
MHT CET 2023 10th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

A sample of gas at temperature $$T$$ is adiabatically expanded to double its volume. The work done by the gas in the process is $$\left(\frac{\mathrm{C}_{\mathrm{P}}}{\mathrm{C}_{\mathrm{V}}}=\gamma=\frac{3}{2}\right) \quad(\mathrm{R}=$$ gas constant $$)$$

A
$$\operatorname{TR}(\sqrt{2}-2)$$
B
$$\frac{\mathrm{T}}{\mathrm{R}}(\sqrt{2}-2)$$
C
$$\frac{\mathrm{R}}{\mathrm{T}}(2-\sqrt{2})$$
D
$$\mathrm{RT}(2-\sqrt{2})$$
2
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

An ideal gas in a container of volume 500 c.c. is at a pressure of $$2 \times 10^{+5} \mathrm{~N} / \mathrm{m}^2$$. The average kinetic energy of each molecule is $$6 \times 10^{-21} \mathrm{~J}$$. The number of gas molecules in the container is

A
$$5 \times 10^{25}$$
B
$$5 \times 10^{23}$$
C
$$25 \times 10^{23}$$
D
$$2.5 \times 10^{22}$$
3
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

A gas at N.T.P. is suddenly compressed to onefourth of its original volume. If $$\gamma=1.5$$, then the final pressure is

A
4 times
B
1.5 times
C
8 times
D
$$\frac{1}{4}$$ times
4
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

A gas is compressed at a constant pressure of $$50 \mathrm{~N} / \mathrm{m}^2$$ from a volume of $$10 \mathrm{~m}^3$$ to a volume of $$4 \mathrm{~m}^3$$. Energy of $$100 \mathrm{~J}$$ is then added to the gas by heating. Its internal energy is

A
increased by $$400 \mathrm{~J}$$
B
increased by $$200 \mathrm{~J}$$
C
increased by $$100 \mathrm{~J}$$
D
decreased by $$200 \mathrm{~J}$$
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