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  • Calculate the mass of hydrogen required to inflase a ballon to a certain volume at <img alt="\mathrm{100\degree C}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7B100%5Cdegre

Calculate the mass of hydrogen required to inflase a ballon to a certain volume at \mathrm{100\degree C} if 3.5 g.He is required to inflate the ballon to half the volume at \mathrm{25\degree C}

Option: 1

2.78 g


Option: 2

4.16 g


Option: 3

5 g


Option: 4

9.03 g


Answers (1)

best_answer

Volume of 3.5 g \mathrm{\mathrm{H}_2} at \mathrm{25 ^{\circ}C} and pressure P is ___

\mathrm{V=\frac{n R T}{P}=\frac{3.5}{4} \times \frac{R T}{P}=\frac{3.5 \times 298 R}{4 P} } ----------------(1)

To fill the ballon with \mathrm{H_{2} } at 375 K, the volume of \mathrm{H_{2} } gas required 

\mathrm{V_{\mathrm{H}_2}=2 \mathrm{~V}}

Hence, 

\mathrm{2 V=\frac{n R T}{P}=\frac{\omega}{2} \times \frac{R \times 373}{P}} -----------(II)

Dividing (2) by (1) given

\mathrm{2=\frac{\omega \times 373}{2} \times \frac{4}{3.5 \times 298} \Rightarrow \omega=2.796 \mathrm{~g} \times 2.78 \mathrm{~g}}

 

 

Posted by

Rakesh

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