Answer:
The new volume of this gas is 6.86 liters.
Assumption: the temperature of this gas stays the same, and this gas is ideal such that Boyle's Law applies.
Explanation:
By Boyle's Law, the volume of an ideal gas shall be inversely proportional to the pressure on it when temperature stays the same (as in an isothermal process.)
In other words,
[tex]\displaystyle V \propto \frac{1}{P}[/tex],
where
[tex]P_1 \cdot V_1 = P_2 \cdot V_2[/tex].
[tex]\displaystyle V_2 = \frac{P_1 \cdot V_1 }{P_2}[/tex].
Assume that this gas is ideal. Also assume that this increase in pressure is isothermal. Apply Boyle's Law to find the new volume of this gas:
[tex]\displaystyle V_2 = \frac{P_1 \cdot V_1 }{P_2} = \rm \frac{0.98\;atm \times 10.5\; L}{1.50\; atm} = 6.86\; L[/tex].
