Calculate the final Celsius temperature when 634 L at 21 °C is compressed to 307 L.

- 130.64°C.

Explanation:

We can use the general law of ideal gas: PV = nRT.

where, P is the pressure of the gas in atm.

V is the volume of the gas in L.

n is the no. of moles of the gas in mol.

R is the general gas constant,

T is the temperature of the gas in K.

If n and P are constant, and have two different values of V and T:

V₁T₂ = V₂T₁

V₁ = 634.0 L, T₁ = 21.0°C + 273 = 294.0 K.

V₂ = 307.0 L, T₂ = ? K.

∴ T₂ = V₂T₁/V₁ = (307.0 L) (294.0 K) / (634.0 L) = 142.36 K.

∴ T₂ (°C) = 142.36 K - 273 = - 130.64°C.