1
AIEEE 2009
+4
-1
Two moles of helium gas are taken over the cycle $$ABCD,$$ as shown in the $$P$$-$$T$$ diagram.

The work done on the gas in taking it from $$D$$ to $$A$$ is :

A
$$+414$$ $$R$$
B
$$-690$$ $$R$$
C
$$+690$$ $$R$$
D
$$-414$$ $$R$$
2
AIEEE 2009
+4
-1
Two moles of helium gas are taken over the cycle $$ABCD$$, as shown in the $$P$$-$$T$$ diagram.

The net work done on the gas in the cycle $$ABCDA$$ is:

A
$$276$$ $$R$$
B
$$1076$$ $$R$$
C
$$1904$$ $$R$$
D
zero
3
AIEEE 2008
+4
-1
The speed of sound in oxygen $$\left( {{O_2}} \right)$$ at a certain temperature is $$460\,\,m{s^{ - 1}}.$$ The speed of sound in helium $$(He)$$ at the same temperature will be (assume both gases to be ideal)
A
$$1421\,\,m{s^{ - 1}}$$
B
$$500\,\,m{s^{ - 1}}$$
C
$$650\,\,m{s^{ - 1}}$$
D
$$300\,\,m{s^{ - 1}}$$
4
AIEEE 2008
+4
-1
An insulated container of gas has two chambers separated by an insulating partition. One of the chambers has volume $${V_1}$$ and contains ideal gas at pressure $${P_1}$$ and temperature $${T_1}$$. The other chamber has volume $${V_2}$$ and contains ideal gas at pressure $${P_2}$$ and temperature $${T_2}$$. If the partition is removed without doing any work on the gas, the final equilibrium temperature of the gas in the container will be
A
$${{{T_1}{T_2}\left( {{P_1}{V_1} + {P_2}{V_2}} \right)} \over {{P_1}{V_1}{T_2} + {P_2}{V_2}{T_1}}}$$
B
$${{{P_1}{V_1}{T_1} + {P_2}{V_2}{T_2}} \over {{P_1}{V_1} + {P_2}{V_2}}}$$
C
$${{{P_1}{V_1}{T_2} + {P_2}{V_2}{T_1}} \over {{P_1}{V_1} + {P_2}{V_2}}}$$
D
$${{{T_1}{T_2}\left( {{P_1}{V_1} + {P_2}{V_2}} \right)} \over {{P_1}{V_1}{T_1} + {P_2}{V_2}{T_2}}}$$
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