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Which of the following cannot determine the state of a thermodynamic system?

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Important Questions on Thermodynamics

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The radius and surface tension of a spherical soap bubble be r and T respectively. Find the charge required which is to be given to the bubble so that its radius will become 2 r in equilibrium. Here atmospheric pressure is P0, temperature of the air inside the bubble remains constant & the charge is assumed to uniformly distributed on the surface of the bubble. Find the value of Q96π×10-10 (in C). Take P0=102 Pa, T=0.07 N m-1, r=1 cm, ε0=9×10-12 C2 N m-2.
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Find the amount of work done to increase the temperature of one mole of ideal gas by 30°C, if it is expanding under the condition VT23.(R=8.31J mol-1 K1)
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A gas for which γ=53 is heated at constant pressure. The percentage of total heat given that will be used for external work is
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If ideal diatomic gas follows the process as shown in graph where T is temperature in kelvin and V is volume (m3), then molar heat capacity for this process will be [in terms of gas constant R],

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

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IMPORTANT
The pressure P, volume V and temperature T of a certain material are related by the equation P=αT2/V. The work done by the material at constant pressure, when the temperature changes from T0 to 2T0, is
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Ideal gas is taken through a process as shown in figure

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IMPORTANT
A work of 146 kJ is performed on the gas, in order to compress one-kilo mole of gas adiabatically and into this process the temperature of the gas increases by 7°C. The gas is R=8.3 J mol-1 K-1