First slide
Heat given
Question

 The amount of heat must be supplied to 2.0×10–2kg of nitrogen (at room temperature) to raise its temperature by 45oC at constant pressure is (Molecular mass of N2 = 28;
R = 8.3J mol–1K–1)   

Easy
Solution

m = 2.0 × 10–2 kg

ΔT =45°C

N2 is diatomic gas.

Molar mass, M = 28gm = 28 × 10–3kg, Cp = 7/2 R

R = 8.3J/mol-K

Heat supplied, Q = nCpΔT

n = number of moles = \frac{{2 \times {{10}^{ - 2}}}}{{28 \times {{10}^{ - 3}}}}

\Rightarrow n = \frac{5}{7}

\therefore Q = \frac{5}{7} \times \left( {\frac{7}{2} \times 8.3} \right) \times 45\,\,{\text{Joule}}

= 933 Joule.

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