1
GATE ME 2017 Set 2
+1
-0.3
A mass $$m$$ of a perfect gas at pressure $${p_1}$$ and volume $${V_1}$$ undergoes an isothermal process. The final pressure is $${p_2}$$ and volume is $${V_2}.$$ The work done on the system is considered positive. If $$R$$ is the gas constant and $$T$$ is the temperature, then the work done in the process is
A
$${p_1}{V_1}\ell n{{{V_2}} \over {{V_1}}}$$
B
$$- {p_1}{V_1}\ell n{{{p_1}} \over {{p_2}}}$$
C
$$RT\ell n{{{V_2}} \over {{V_1}}}$$
D
$$- mRT\ell n{{{p_2}} \over {{p_1}}}$$
2
GATE ME 2016 Set 1
+1
-0.3
Which of the following statements are TRUE with respect to heat and work?
$$(i)$$ They are boundary phenomena
$$(ii)$$ They are exact differentials
$$(iii)$$ They are path functions
A
Both $$(i)$$ and $$(ii)$$
B
Both $$(i)$$ and $$(iii)$$
C
Both $$(ii)$$ and $$(iii)$$
D
Only $$(iii)$$
3
GATE ME 2013
+1
-0.3
A cylinder contains $$5\,\,{m^3}$$ of an ideal gas at a pressure of $$1$$ bar. This gas is compressed in a reversible isothermal process till its pressure increases to $$5$$ bar. The work in $$kJ$$ required for this process is
A
$$804.7$$
B
$$953.2$$
C
$$981.7$$
D
$$1012.2$$
4
GATE ME 2011
+1
-0.3
The contents of a well-insulated tank are heated by a resistor of $$23\Omega$$ in which $$10A$$ current is flowing. Consider the tank along with its contents as a thermodynamic system. The work done by the system and the heat transfer to the system are positive. The rates of heat $$(Q),$$ work $$(W)$$ and change in internal energy $$\left( {\Delta U} \right)$$ during the process in $$kW$$ are
A
$$Q=0, W=-2.3,$$ $$\Delta U = + 2.3$$
B
$$Q = + 2.3,\,\,W = 0,\,\,\Delta U = + 2.3$$
C
$$Q = - 2.3,\,\,W = 0,\,\,\Delta U - 2.3$$
D
$$Q = 0\,\,W = + 2.3,\,\,\Delta U - 2.3$$
GATE ME Subjects
EXAM MAP
Medical
NEET