Respuesta :

[tex]P=\frac{KT}{V}\\\\V*P=\frac{KT}{V}*V\\\\PV/T=KT/T\\\\\frac{PV}{T}=K\\\\\\K=\frac{PV}{T}[/tex]

we have

[tex]P=\frac{KT}{V}[/tex]

Solve for K means clear the variable K

so

Multiply both sides by [tex]V[/tex]

[tex]PV=V\frac{KT}{V}[/tex]

[tex]PV=KT[/tex]

Divide both sides by [tex]T[/tex]

[tex]PV/T=KT/T[/tex]

[tex]K=PV/T[/tex]

therefore

the answer is

[tex]K=PV/T[/tex]

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