1
GATE ME 1993
+1
-0.3
A body of weight $$100$$ $$N$$ falls freely a vertical distance of $$50m$$.The atmospheric drag force is $$0.5N.$$ For the body, the work interaction is
A
$$+5000$$ $$J$$
B
$$-5000$$ $$J$$
C
$$-25$$ $$J$$
D
$$+25$$ $$J$$
2
GATE ME 1993
+1
-0.3
The first law of thermodynamics takes the form $$W = - \Delta \,H$$ when applied to :
A
A closed system undergoing a reversible adiabatic process.
B
An open system undergoing an adiabatic process with negligible changes in kinetic and potential energies.
C
A closed system undergoing a reversible constant volume process.
D
A closed system undergoing a reversible constant pressure process.
3
GATE ME 1993
Subjective
+2
-0
A rigid insulated cylinder has two compartments separated by a thin membrane. While one compartment contains one kmol nitrogen at a certain pressure and temperature, the other contains one kmol carbon dioxide at the same pressure and temperature. The membrane is ruptured and the two gases are allowed to mix.

Assume that the gases behave as ideal gases. Calculate the increase in entropy of the contents of the cylinder. Universal gas constant equal to $$8314.3$$ $$J/kmol$$ $$K.$$

4
GATE ME 1993
Subjective
+2
-0
A vertical cylinder with a freely floating piston contains $$0.1$$ $$kg$$ air at $$1.2$$ bar and a small electrical resistor. The resistor is wired to an external $$12$$ Volt battery. When a current of $$1.5$$ amps is passed through the resistor for $$90$$ $$secs,$$ the piston sweeps a volume of $$0.01$$ $${m^3}.$$ Assume $$(i)$$ piston and the cylinder are insulated and $$(ii)$$ air behaves as a ideal gas with $${C_v} = 700\,\,J/kg\,K.$$
Find the rise in temperature of air. GATE ME Papers
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