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a sample of gas at 26 degrees celsius has a pressure of 1.5 atm calculate the final pressure in atmospheres if the temperature is charged at 98 degrees celsius at constant volume.​

Sagot :

Given:

[tex]P_{1} = \text{1.5 atm}[/tex]

[tex]T_{1} = \text{26°C + 273 = 299 K}[/tex]

[tex]T_{2} = \text{98°C + 273 = 371 K}[/tex]

Unknown:

[tex]P_{2}[/tex]

Solution:

[tex]\frac{P_{1}}{T_{1}} = \frac{P_{2}}{T_{2}}[/tex]

[tex]P_{2} = P_{1} × \frac{T_{2}}{T_{1}}[/tex]

[tex]P_{2} = \text{1.5 atm} × \frac{\text{371 K}}{\text{299 K}}[/tex]

[tex]\boxed{P_{2} = \text{1.9 atm}}[/tex]

[tex]\\[/tex]

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