Question

Solve using the correct gas law formula: If the pressure exerted by gas at 25 °C in a constant volume of 3.81 atm, What will the pressure be at 50 °C?

Answer 1

4.31 atm.

Step-by-step 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 V are constant, and have different values of P and T:

(P₁T₂) = (P₂T₁)

• Knowing that:

P₁ = 3.81 atm, T₁ = 25°C + 273 = 298 K,

P₂ = ??? atm, T₂ = 50°C + 273 = 323 K,

• Applying in the above equation

(P₁T₂) = (P₂T₁)

∴ P₂ = (P₁T₂)/(T₁) = (3.81 atm)(323 K)/(298 K) = 4.31 atm.