Answer to Question #165837 in Physics for harry

Question

A 1000 L tank containing 100 moles of compressed air at 235.4kPa of pressure at 5.40^oC is heated by the sun to 24.0 ^oC. What is the resulting pressure in kPa?

Answer 1

Assuming the volume does not change, the new pressure can be found from combined gas law:

$$\frac{VP}{T}=\frac{VP_f}{T_f},\\\space\\ \frac{P}{T}=\frac{P_f}{T_f},\\\space\\ P_f=\frac{T_f}{T}P=\frac{273+24}{273+5.4}·235.4=521.1\text{ kPa}.$$