Air in a cylinder is suddenly compressed by a piston, which is then maintained at the same position. With the passage of time 

1.	The pressure decreases
2.	The pressure increases
3.	The pressure remains the same
4.	The pressure may increase or decrease depending upon the nature of the gas

The adiabatic Bulk modulus of a perfect gas at pressure P is given by 

(1) P

(2) 2P

(3) P/2

(4) γ P

An adiabatic process occurs at constant 

(1) Temperature

(2) Pressure

(3) Heat

(4) Temperature and pressure

For adiabatic processes $\left(\gamma =\frac{C_p}{C_v}\right)$ 

(1) $P^{\gamma }V$ = constant

(2) $T^{\gamma }V$ = constant

(3) $T{V}^{\gamma -1}$ = constant

(4) $T{V}^{\gamma }$ = constant

An ideal gas is expanded adiabatically at an initial temperature of \(300~\text{K}\) so that its volume is doubled. The final temperature of the hydrogen gas is: \((\gamma = 1.40)~\left[2^{0.4}= 1.3\right]\)
1. \(230.76~\text{K}\)
2. \(500.30~\text{K}\)
3. \(454.76~\text{K}\)
4. \(-47~^{\circ}\text{C}\)

In an adiabatic expansion of a gas, if the initial and final temperatures are \(T_1\) and \(T_2\), respectively, then the change in internal energy of the gas is:
1. \(\frac{nR}{\gamma-1}(T_2-T_1)\)
2. \(\frac{nR}{\gamma-1}(T_1-T_2)\)
3. \(nR ~(T_1-T_2)\)
4. Zero

Helium at 27°C has a volume of 8 litres. It is suddenly compressed to a volume of 1 litre. The temperature of the gas will be [γ = 5/3] 

(1) 108°C

(2) 9327°C

(3) 1200°C

(4) 927°C

A cycle tyre bursts suddenly. This represents an 

(1) Isothermal process

(2) Isobaric process

(3) Isochoric process

(4) Adiabatic process

One mole of helium is adiabatically expanded from its initial state $(P_i,V_i,T_i)$ to its final state $(P_f,V_f,T_f)$. The decrease in the internal energy associated with this expansion is equal to

(1) $C_V(T_i-T_f)$

(2) $C_P(T_i-T_f)$

(3) $\frac{1}{2}(C_P+C_V)(Ti-T_f)$

(4) $(C_P-C_V)(T_i-T_f)$

A diatomic gas initially at 18°C is compressed adiabatically to one-eighth of its original volume. The temperature after compression will be 

(1) 10°C

(2) 887°C

(3) 668 K

(4) 144°C