An ideal gas is enclosed in a cylinder fitted with a frictionless, movable piston of area 0.04 m^2 . The gas is heated by an electrical coil of resistance 50 \ carrying a current of 2 A for 10 s . During this process

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Correct answer: B. 20 cm

Heat supplied by the electrical coil is given by Joule's law of heating:

Q = I^2 R t

Q = (2)^2 \times 50 \times 10 = 2000 \text{ J}

According to the first law of thermodynamics:

Q = \Delta U + W

2000 = 1200 + W

W = 800 \text{ J}

Work done by the gas at constant pressure is:

W = P \Delta V = P A d

Substituting the given values:

800 = 10^5 \times 0.04 \times d

800 = 4000 \times d

d = \dfrac{800}{4000} = 0.2 \text{ m}

d = 20 \text{ cm}

Answer:

20 \text{ cm}

An ideal gas is enclosed in a cylinder fitted with a frictionless,...

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