HSC Science (General) 11thMaharashtra State Board
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# Compute the Temperature at Which the R.M.S. Speed of Nitrogen Molecules is 832 M/S. - HSC Science (General) 11th - Physics

ConceptTemperature and Heat

#### Question

Compute the temperature at which the r.m.s. speed of nitrogen molecules is 832 m/s. [Universal gas constant, R = 8320 J/k mole K, molecular weight of nitrogen = 28.]

#### Solution

Given:-

crms = 832 m/s,

R = 8320 J/k mole K,

M = 28

To find:

R.M.S velocity (crms)

Formula:-

"c"_(rms)=sqrt((3RT)/M)

Calculation: From formula,

832=sqrt((3xx8320xxT)/28)

thereforeT=(832xx832xx28)/(3xx8320)

T=(832xx28)/30

T=776.5 K

T = 776.5 K or 503.5° C

The r.m.s. speed of nitrogen molecules is 832 m/s at 776.5 K or 503.5° C

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Solution Compute the Temperature at Which the R.M.S. Speed of Nitrogen Molecules is 832 M/S. Concept: Temperature and Heat.
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