Question

At 289 K, a sample of gas has a volume of 42.0 cm3. What volume does the gas occupy at 342 K? (12.5 Points)

Answer 1

Answer:
`49.7\ cm^3`

Step-by-step explanation:

Given

At temperature
`T_1=289\ K`

Volume is
`V_1=42\ cm^3`

and the temperature changes to
`T_2=342\ K`

At this temperature volume is
`V_2`

Consider Pressure remains the constant

`\therefore (V_1)/(T_1)=(V_2)/(T_2)\\\\\Rightarrow V_2=V_1* (T_2)/(T_1)\\\\\text{Insert values}\\\\\Rightarrow V_2=42* (342)/(289)\\\\\Rightarrow V_2=49.7\ cm^3`

The volume at this temperature is
`49.7\ cm^3`