Question

For a rigid diatomic molecules, molar specific heat at constant pressure is given by Cp =R/x where Ris universal gas constant and x is number value. Then 3.5x will be​

Answer 1

Answer:

option c

Explanation:

For  a diatomic gas, cp= 7/2R therefore x=2/7. So 3.5x = 3.5*2/7 which is equal to 1

Answer 2

Given:

For a rigid diatomic molecules, molar specific heat at constant pressure is given by Cp =R/x

To find:

Value of 3.5 x ?

Calculation:

For a diatomic ideal gas,

$C_{V} = \dfrac{5R}{2}$

Now we can say :

$C_{P} = C_{V} + R$

$\implies C_{P} = \dfrac{5R}{2} + R$

$\implies C_{P} = \dfrac{(5 + 2)R}{2}$

$\implies C_{P} = \dfrac{7R}{2}$

$\implies C_{P} = \dfrac{R}{x} \: \: \: \: . \: . \: .(as \: given)$

So, x = 2/7.

$\therefore \: 3.5 \times x = 3.5 \times \dfrac{2}{7} = 1$

So , (3.5)x = 1 (OPTION 3)