1. A rigid tank is filled with 13.2 kg of gas with a pressure of 130 kPa and tem
ID: 1770606 • Letter: 1
Question
1. A rigid tank is filled with 13.2 kg of gas with a pressure of 130 kPa and temperature of 120°C initially. The mass of the tank is 20.5 kg. Now a gun is shooting towards the tank and 100 bullets have been shot into the walls of the tank Each bullet has a mass of 25.0 g with a speed of 343.2 m/s. Assume that the walls of the tank can neither conduct heat or allow mass flows and all the bullets energy will be absorbed into the tank. (1) How much thermal energy will be introduced to the gas? (2) If the temperature is changed to 170 'C, what will the pressure be (3) If the pressure is changed to 163.4 kPa, what will the temperature be?Explanation / Answer
(1) energy of each bullet = m v^2 /2
total thermal energy absorbed by gas = 100 (0.025 x 343.2^2 /2)
= 1.473 x 10^5 J
(2) V = constant.
P / T = constant
130 / (273 + 120) = P / (273 + 170)
P = 146.5 kPa
(3) (130) / (273 + 120) = 163.4 / Tf
Tf = 494 K or 221 deg C
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