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,

for more details, you can refer to the link:

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when the volume of gas is   changed from   717.73 ml   to 852 ml   the temperature will   change   from 315   c to 452   c

    calculation

this is calculated using the charles law formula

that is,   v1/t1 = v2/t2

          v1=?

        t1 = 315 c   into   kelvin = 315 +273 = 588 k

        v2 = 852   ml

        t2 = 425c + 273 =698 k

make v1   the subject of the formula ( by   multiplying both side by t1)

  v1=( v2 xt1) / t2

v1= (852 ml   x 588 k)/ 698 k= 717.73 ml