To double the average kinetic energy of helium

atoms in a balloon at 27 °C, the temperature of the gas must be

54°C

Explanation:

Hello,

To find the temperature of the gas, we would need a relationship between kinetic energy and temperature.

K. E = 3/2RT/Na

Where K. E = kinetic energy

R = ideal gas constant

T = temperature of the ideal gas

Na = Avogadro's number

2K. E₁ = K. E₂ (required)

Since both constant (R and Na) are equal,

K. E = T (direct proportionality)

But T = 27°C

T2 = 2 * 27 = 54°C

To double the kinetic energy of a helium gas at 27°C the temperature of the gas should be increased to 54°C