Answer: 596 K
Explanation:
[tex]\frac{1 atm * 3L}{298K} =\frac{4 atm * 1.5 L}{x}[/tex]
cross multiply
[tex]1 atm * 3 L * x = 4 atm * 1.5 L * 298 K[/tex]
divide by 1 atm and 3 L to isolate the variable
[tex]x =\frac{4 atm * 1.5 L * 298 K}{1 atm * 3 L}[/tex]
cancel out units
[tex]x =\frac{4 * 1.5 * 298 K}{1 * 3 }[/tex]
multiply numerator and denominator
[tex]x =\frac{1788 K}{3 }[/tex]
divide
[tex]x = 596 K[/tex]
