What amount of heat is needed to raise the temperature of 2×10-2 kg of nitrogen at room temperature to raise it’s temperature by 45° C at constant pressure?(given molecular mass=28 and R=8.3 J mol-1 K-1; Cp=7R/2)
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a
9.33 cal
b
93.3 J
c
933.7 J
d
933.3 cal
answer is C.
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Detailed Solution
number of molesn=mM=2028=0.174where m is mass of gas in gram=0.02kg=0.02x1000g=20gM is molecular weight of gas molar specific heat of gas at constant pressure is Cp Cp=7R/2=72×8.3 J mole-1 K−1 amount of heat required to raise temperature of gas at constant pressure is Q Q=nCp×ΔT here ΔT is raise in temperature substitute the values of n,Cp,ΔT Q=0.714×72×8.3 ×45 J ⇒Q=933.75J