Answer:
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