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What amount of heat must be supplied to ...

What amount of heat must be supplied to `2.0 xx 10^-2 kg` of nitrogen (at room temperature) to raise its temperature by `45 ^@C` at constant pressure ? (Molecular mass of `N_2 = 28, R = 8.3 J mol^-1 K^-1.`)

Text Solution

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We are given:
Mass of nitrogen `= 2.0 xx 10^(-2) kg rArr` Molecular mass `= 28 xx 10^(-7) kg`
  Change in temperature, `(Delta T) = 45^(@)C`
  We are to calculate, Amount of heat supplied to given mass of nitrogen, Q
We know that, Nitrogen is a diatomic gas so its molar specific heat at constant pressure is
`C_(P) = (7)/(2) R = (7 xx 8.3)/(2) rArr C_(P) = 29.05 J mol^(-1) K^(-1)`
Number of moles, `mu = (2.0 xx 10^(-2))/(28 xx 10^(-3)) = 0.7143`
`therefore` Heat supplied, `Q = muC_(p) Delta T = 0.7143 xx 29.05 xx 45 = 934 J`.
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