The temperature of reservoir of Carnot's engine operating with an efficiency of 70% is 1000K. The temperature of its sink is -
(1) 300 K
(2) 400 K
(3) 500 K
(4) 700 K
Efficiency of a Carnot engine is 50% when temperature of outlet is 500 K. In order to increase efficiency up to 60% keeping temperature of intake the same what is temperature of outlet ?
(1) 200 K
(2) 400 K
(3) 600 K
(4) 800 K
An engine is supposed to operate between two reservoirs at temperature 727°C and 227°C. The maximum possible efficiency of such an engine is -
(1) 1/2
(2) 1/4
(3) 3/4
(4) 1
An ideal gas heat engine operates in Carnot cycle between 227°C and 127°C. It absorbs 6 × 104 cal of heat at higher temperature. Amount of heat converted to work is -
(1) 2.4 × 104 cal
(2) 6 × 104 cal
(3) 1.2 × 104 cal
(4) 4.8 × 104 cal
A monoatomic ideal gas, initially at temperature \(T_1\), is enclosed in a cylinder fitted with a frictionless piston. The gas is allowed to expand adiabatically to a temperature \(T_2\) by releasing the piston suddenly. If \(L_1\) and \(L_2\) are the lengths of the gas column before and after expansion, respectively, then \(\frac{T_1}{T_2}\) is given by:
1. \(\left(\frac{L_1}{L_2}\right)^{\frac{2}{3}}\)
2. \(\frac{L_1}{L_2}\)
3. \(\frac{L_2}{L_1}\)
4. \(\left(\frac{L_2}{L_1}\right)^{\frac{2}{3}}\)
An ideal gas expands isothermally from a volume V1 to V2 and then compressed to original volume V1 adiabatically. Initial pressure is P1 and final pressure is P3. The total work done is W. Then -
(1)
(2)
(3)
(4)
An insulator container contains 4 moles of an ideal diatomic gas at a temperature T. If heat Q is supplied to this gas, due to which 2 moles of the gas are dissociated into atoms, but the temperature of the gas remains constant, then:
1. Q = 2RT
2. Q = RT
3. Q = 3RT
4. Q = 4RT
The volume of air (diatomic) increases by \(5\%\) in its adiabatical expansion. The percentage decrease in its pressure will be:
1. | \(5\%\) | 2. | \(6\%\) |
3. | \(7\%\) | 4. | \(8\%\) |
The temperature of a hypothetical gas increases to times when compressed adiabatically to half the volume. Its equation can be written as
(1) PV3/2 = constant
(2) PV5/2 = constant
(3) PV7/3 = constant
(4) PV4/3 = constant