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A cylinder contains 0.100 mol of an ideal monatomic gas.

Chapter 19, Problem 36E

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QUESTION:

A cylinder contains 0.100 mol of an ideal monatomic gas. Initially the gas is at 1.00 X 105 Pa and occupies a volume of 2.50 X 10-3 m3. (a) Find the initial temperature of the gas in kelvins. (b) If the gas is allowed to expand to twice the initial volume, find the final temperature (in kelvins) a

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QUESTION:

A cylinder contains 0.100 mol of an ideal monatomic gas. Initially the gas is at 1.00 X 105 Pa and occupies a volume of 2.50 X 10-3 m3. (a) Find the initial temperature of the gas in kelvins. (b) If the gas is allowed to expand to twice the initial volume, find the final temperature (in kelvins) a

ANSWER:

Solution 36E Step 1: The given gas is an ideal gas, hence must obey the governing equations of ideal gas. We know that, PV = nRT --------------(1) Where, P is the pressure, V is the volume, N is the amount of the substance of gas, R is the gas constant, T is the temperature. Here the values of P, V, n, R, T are 1 × 10 Pa, 2.50 × 10 3 m , 0.100 mol, 1 1 8.314 J K mol respectively.

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