Answer to Question #160599 in Molecular Physics | Thermodynamics for Eva

Question

If the volume of an ideal gas is doubled while its temperature is quadrupled, does the pressure
(a) remain the same
(b) decreases by a factor of 2
(c) decrease by a factor of 4
(d) Increase by a factor of 2
(e) increase by a factor of 4

Answer 1

$\frac{p_1V_1}{T_1}=\frac{p_2\cdot 2V_1}{4T_2},$

$p_2=2p_1,$

(d) increase by a factor of 2.