Question

What is the temperature of a gas inside a 6750 mL balloon filled with 0.546 grams of helium gas? The pressure of the balloon in 157 kPa.

Answer 1

PV = nRT

where:

P is the pressure of the gas = 157 kPa = 1.54947 atm

V is the volume of the gas = 6750 ml = 6.75 Liter

n is the amount of substance of gas (in moles) = 0.546 / 4.002 = 0.1364 Moles

R is gas constant = = 0.0821 L atm K-1 Mol-1

T is the absolute temperature of the gas.= ?

substitute in the equation and calculate the temperatre

PV = nRT

T = PV / nR

T = 1.54947 x 6.75 / 0.0821 x  0.1364

T = 933.74 K

T = 660.59 ⁰C

The temperature of the gas inside is 660.59 ⁰C