Question

Hydrogen has a volume of 1.0l and the pressure is 5.4 ATM if the initial temperature is 33 degrees c the final volume is 2.0 l and the final pressure is 4.3 ATM what was the final temperature of the hydrogen?

Answer 1

487.33 K.

Step-by-step explanation:

• To calculate the no. of moles of a gas, 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 is constant, and have two different values of (P, V and T):

P₁V₁T₂ = P₂V₂T₁

P₁ = 5.4 atm, V₁ = 1.0 L, T₁ = 33°C + 273 = 306 K.

P₂ = 4.3 atm, V₂ = 2.0 L, T₂ =??? K.

∴ T₂ = P₂V₂T₁/P₁V₁ = (4.3 atm)(2.0 L)(306 K)/(5.4 atm)(1.0 L) = 487.33 K.