Question

Calculate the mass of hydrogen in the balloon 10m in diameter filled with hydrogen gas at a pressure of 1atm at a temperature of 27 degree Celsius

Answer 1

Answer:

5.9 gram as it is given wo plez check yqqr

Answer 2

Answer:

The mass of hydrogen in the balloon 10m in diameter is 0.419 grams.

Explanation:

We will use the ideal gas equation to solve this question. i.e.

$\mathrm{PV=\frac{m}{M} RT}$      (1)

Where,

P= pressure at which the gas is present

V= volume of the gas

m=mass of the gas

M=molecular mass of the gas

R=universal gas constant=8.314 J mol⁻¹ K⁻¹

T=temperature at which the gas is present

From the question we have,

The diameter of hydrogen ballon=10m

The pressure at which the hydrogen is present= 1 atm

The temperature at which the gas is present=27°C=300K

So, the radius of the balloon(r)=5m

Now let's find the volume(V) of the balloon,

$\mathrm{V=\frac{4}{3}\pi r^3 }$         (2)

By inserting the value of "r" in equation (2) we get;

$\mathrm{V=\frac{4}{3}\pi (5)^3 }$

$\mathrm{V=\frac{4}{3}\pi \times 125 }$      (3)

After inserting all the required values in equation (1) we get;

$\mathrm{1\times \frac{4}{3}\pi \times 125 =\frac{m}{2} \times 8.314\times 300}$         (M= 2 grams for hydrogen)

$\mathrm{m=\frac{4\pi\times 125\times 2}{3\times 8.314\times 300} }$

$\mathrm{m=0.419\ grams}$

So, the mass of hydrogen in the balloon 10m in diameter is 0.419 grams.

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