The resulting pressure is 6 atm.
Boyle's Law, Charle's Law, and Guy-Lussac's law are all combined to form the so-called "combined gas law." It enables us to figure out how pressure, temperature, and volume vary during any physical process.
The combined gas law :
[tex]\frac{P_{1}V_{1} }{T_{1} } =\frac{P_{2} V_{2} }{T_{2} }[/tex]
Where, P = pressure
V = volume
T = temperature
The system's condition prior to and following a physical process is represented by the subscripts 1 and 2, respectively.
[tex]V_{2} =V_{1} *0.5\\T_{2} =T_{1} *3[/tex]
By putting the values:
[tex]\frac{1 atm*V_{1} }{T_{1} } =\frac{P_{2}*V_{1}*0.5 }{T_{1}*3 }[/tex]
1 atm = [tex]\frac{P_{2} *0.5}{3}[/tex]
[tex]P_{2} = 6 atm[/tex]
Hence, the resulting pressure is 6 atm.
Learn more about combined gas law here:
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