The formula for calculating urms is given as:
urms = sqrt (3 R T / M)
where,
R is gas constant = 8.314 J / mol K
T is absolute temperature = ?
M is molar mass of H2 = 2 x 10^-3 kg/mol
Calculating for T:
1.8 * (1.84×10^3) = sqrt (3 * 8.314 * T / 2x10^-3)
T = 879.59 K (ANSWER)
Answer:
The temperature will be 879.59K for 21.8 times higher than this value.
Explanation:
The Equation for calculating Root Mean Square Velocity([tex]\rm U_r_m_s[/tex])
[tex]\rm \mathbf{U_r_m_s}=\sqrt\frac{3RT}{M}[/tex]
Where,
[tex]\rm \mathbf{U_r_m_s}[/tex] is Root Mean Square Velocity in m/s.
R is gas constant which is [tex]\rm \texttt{8.314 J/mol K}[/tex]
T is the temperature at Kelvin, what do we need to calculate here?
M is the molar mass of [tex]\rm H_2[/tex] which is [tex]\rm 2\times10^-^3\texttt{kg/mol}[/tex]
Now, put the value according to the equation above,
[tex]\rm 1.8 \times (1.84\times10^3)=\sqrt\frac{3 \times8.314 \times T}{2\times10^-^3} \\\rm \mathbf{T=879.59K}[/tex]
for more details, you can refer to the link:
https://brainly.com/question/13751940?referrer=searchResults
