The pressure of the gas in a compressed gas tank is 862 kPa when the gas is at 35 °C.To what will the pressure change when the temperature drops to 7 °C?

Question

Quizplus · Accepted Answer

The pressure change can be calculated using the ideal gas law, assuming the volume and the amount of gas remain constant. The formula to use is $ P_1/T_1 = P_2/T_2 $, where $ P $ is pressure, $ T $ is temperature in Kelvin, and subscripts 1 and 2 refer to initial and final states, respectively. Convert temperatures to Kelvin: $ T_1 = 35 + 273 = 308 K $ and $ T_2 = 7 + 273 = 280 K $. Solve for $ P_2 $: $ P_2 = P_1 \times (T_2/T_1) = 862 \times (280/308) = 784 kPa $.

The Pressure of the Gas in a Compressed Gas Tank