Answer:
751.20K
Explanation:
To calculate the temperature of N2 gas, the following formula is used:
V(rms) = √3RT/mm
Where;
V(rms) = root means square of the velocity (818.049m/s)
R = gas law constant (8.3145J/Kmol)
T = temperature (K)
M = molar mass (kg/mol)
Molar mass of N2 = 14 + 14 = 28g/mol
Convert to kg/mol, we have;
28/1000 = 0.028kg/mol
V(rms) = √3RT/mm
818.049 = √3(8.3145 × T)/0.028
818.049 = √3(8.3145T)/0.028
818.049 = √24.9435T/0.028
818.049 = √890.839
818.049² = √890.839T²
669204.1666 = 890.839T
T = 669204.1666/890.839
T = 751.20K
