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To find the amount of heat required to raise the temperature of nitrogen, we can use the formula:
Q=mcΔTQ=mcΔT
Where:
First, let's calculate the specific heat capacity (cc) of nitrogen using the given molecular mass (MM) and the universal gas constant (RR):
c=RMc=MR
Given:
c=8.3 J mol−1K−128 g/mol=8.3 J mol−1K−10.028 kg/molc=28g/mol8.3J mol−1K−1=0.028kg/mol8.3J mol−1K−1 c≈296.43 J kg−1K−1c≈296.43J kg−1K−1
Now, we can calculate the heat energy (QQ) using the formula mentioned earlier:
Given:
Q=(2.0×10−2 kg)×(296.43 J kg−1K−1)×(45 K)Q=(2.0×10−2kg)×(296.43J kg−1K−1)×(45K) Q≈267.19 JQ≈267.19J
So, the amount of heat that must be supplied to 2.0×10−22.0×10−2 kg of nitrogen to raise its temperature by 4545 °C at constant pressure is approximately 267.19267.19 J.
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