Answer:
12.979 m:L (3 d.p.)
Explanation:
Combined Gas Law
[tex]\sf \dfrac{P_1V_1}{T_1}=\dfrac{P_2V_2}{T_2}[/tex]
Temperature must be in kelvins (K).
To convert Celsius to kelvins, add 273.15.
Volume can be in any unit.
Given values:
- P₁ = 0.837 atm
- V₁ = 17.5 mL
- T₁ = 48°C = 48 + 273.15 = 321.15 K
- P₂ = 0.995
- V₂ =
- T₂ = 10°C = 10 + 273.15 = 283.15 K
Rearrange the equation to isolate V₂:
[tex]\implies \sf V_2=\dfrac{P_1V_1T_2}{P_2T_1}[/tex]
Substitute the given values into the equation:
[tex]\implies \sf V_2=\dfrac{0.837 \cdot 17.5 \cdot 283.15}{0.995 \cdot 321.15}[/tex]
[tex]\implies \sf V_2=12.979\:mL\:(3\:d.p.)[/tex]
Therefore, the volume at 10°C will be 12.979 mL (3 d.p.).
Learn more about the Combined Gas Law here:
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