Question

16. The difference between the principal specific heats of nitrogen is 300 1/kg "Kand ratio of the two
specific heats is 1.4. Then the CP is
A 1050 J/kg
B. 650 1/kg K
C. 750 1/kg "K
D. 150 1/kg K​

Answer 1

Given:

• $C_p-C_v$  = 300 J/Kg K
• $\frac{C_p}{C_v}$ = 1.4

To Find:

• The value of $C_p$.

Solution:

It is already given that,

$C_p-C_v=300$  → {equation 1}

$\frac{C_p}{C_v}$ = 1.4 ⇒ $C_p = 1.4C_v$ { cross-multiplying 1.4 with $C_v$}

Substitute the value of $C_p$  in equation 1. We get,

$1.4C_v-C_v = 300$ { subtracting the terms in LHS}

0.4$C_v$  = 300

$C_v$ = 300/0.4 = 750

Now substitute the value of $C_v$ again in equation 1 to get the value of $C_p$

$C_p$ - 750 = 300

$C_p$ = 300 + 750  { adding the terms}

$C_p$ = 1050 J/Kg K

∴ The value of $C_p$ = 1050 J/Kg K. (option A)

Answer 2

1500J/KgK

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