What amount of heat must be supplied to `2.0xx10^(-2)kg` of `N_(2)` (at room temperature) to raise its temperature by `45^(@)C` at constant pressure? Molecular mass of `N_(2)=28,R=8.3J"mole"^(-1)K^(-1)`

Options

A. `9.33 cal`
B. `93.3 J`
C. `933.4 J`
D. `933.3 cal`

Answer

C

Explanation

Number of moles `n=(m)/(M)=(20)/(28)=0.174`
`C_(p) =(7)/(2) R=(7)/(2) xx8.3 J" mole"^(-1) K^(-1)`
`Delta Q =n C_(p) xx Delta T`
`=0.714xx(7)/(2)xx8.3 xx45 J`
`=933.4 J`.
`therefore` Correct choice is (c ).