The urms of h2 molecules at 273k is 1.84×103m/s. part aat what temperature is urms for h21.8 times greater than this value?

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)

The temperature will be 879.59K for 21.8 times higher than this value.

Explanation:

The Equation for calculating Root Mean Square Velocity()

Where,

is Root Mean Square Velocity in m/s.

R is gas constant which is

T is the temperature at Kelvin, what do we need to calculate here?

M is the molar mass of   which is

Now, put the value according to the equation above,

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the answer is:  

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