Answer:
591°C
Explanation:
Ideal gas law says:
PV = nRT
where P is absolute pressure, V is volume, n is amount of gas in moles, R is the universal gas constant, and T is absolute temperature.
Rearranging, we can put pressure and temperature on one side:
P/T = nR/V
The amount of gas and volume of gas is held constant, so:
P/T = k
Which means:
P₁ / T₁ = P₂ / T₂
Given that P₁ = P, P₂ = 3P, and T₁ = 15°C = 288 K:
P / 288 = 3P / T₂
T₂ = 864 K
The new temperature is 864 K or 591°C.