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  • Two moles of hydrogen and 3 moles of helium are mixed at room temperature, and at atmospheric pressure  

Two moles of hydrogen and 3 moles of helium are mixed at room temperature, and at atmospheric pressure P_{a} and the mixture
 

Option: 1

C_{V}$ of mixture is $2 R


Option: 2

C_{p}$ of mix tare is $2.9 R


Option: 3

C_{V}$ of mixture is $9 R


Option: 4

C_{p}$ of mixture is $9.2 R


Answers (1)

best_answer

<p>Hydrogen :&nbsp;<img alt="n=2 \quad c_{V}=\frac{5}{2} R ; c_{p}=\frac{7}{2} R" src="https://latex.codecogs.com/gif.latex?n%3D2%20%5Cquad%20c_%7BV%7D%3D%5Cfrac%7B5%7D%7B2%7D%20R%20%3B%20c_%7Bp%7D%3D%5Cfrac%7B7%7D%7B2%7D%20R" /></p>

<p>Helium:&nbsp;<img alt="n=3 \quad c_{v}=\frac{3}{2} R ; c_{p}=\frac{5}{2} R" src="https://latex.codecogs.com/gif.latex?n%3D3%20%5Cquad%20c_%7Bv%7D%3D%5Cfrac%7B3%7D%7B2%7D%20R%20%3B%20c_%7Bp%7D%3D%5Cfrac%7B5%7D%7B2%7D%20R" /></p>

<p>So, Mixture is</p>

<p><img alt="=c_{v}=\frac{n_{1} c_{v}+n_{2} c v_{2}}{n_{1}+n_{2}}" src="https://latex.codecogs.com/gif.latex?%3Dc_%7Bv%7D%3D%5Cfrac%7Bn_%7B1%7D%20c_%7Bv%7D&amp;plus;n_%7B2%7D%20c%20v_%7B2%7D%7D%7Bn_%7B1%7D&amp;plus;n_%7B2%7D%7D" /><br />
<br />
<img alt="=\frac{\left(2 \times \frac{5}{2} R\right)+\left(3 \times \frac{3}{2} R\right)}{2+3}" src="https://latex.codecogs.com/gif.latex?%3D%5Cfrac%7B%5Cleft%282%20%5Ctimes%20%5Cfrac%7B5%7D%7B2%7D%20R%5Cright%29&amp;plus;%5Cleft%283%20%5Ctimes%20%5Cfrac%7B3%7D%7B2%7D%20R%5Cright%29%7D%7B2&amp;plus;3%7D" /><br />
<img alt="=\frac{19 R}{10}=1.9 R" src="https://latex.codecogs.com/gif.latex?%3D%5Cfrac%7B19%20R%7D%7B10%7D%3D1.9%20R" /><br />
&nbsp;</p>

<p><img alt="C_{p}=C_{V}+R=1.9 R+R=2.9 R" src="https://latex.codecogs.com/gif.latex?C_%7Bp%7D%3DC_%7BV%7D&amp;plus;R%3D1.9%20R&amp;plus;R%3D2.9%20R" /><br />
&nbsp;</p>
 

Posted by

Shailly goel

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