Según la ley de Boyle, la presión es inversamente proporcional al volumen que contiene determinada cantidad de gas. ¿A qué presión está sometido un gas, si al aumentar esta presión en 7,5 el volumen varía en 5/7 de su valor?

The pressure is 3 units (La presión es 3 unidades)

Explanation:

This can be translated to:

"According to Boyle's law, the pressure is inversely proportional to the volume that contains a certain amount of gas. What pressure is a gas subjected to, if by increasing this pressure by 7.5 the volume varies by 5/7 of its value?"

Boyle's law says: P*V = ct

If initially we have

P1 and V1

and finally we have

P2 and V2

we know that:

P2 = P1 + 7.5

V2 - V1 = 5/7V1

V2 = 2/7V1

then we can imput those things i the Boyle's law:

P1*V1 = P2*V2 = (P1 + 7,5)*(2/7)*V1

we divide by V1 in both sides:

P1 = (P1 + 7,5)(2/7)

(7/2)*P1 = P1 + 7,5

P1(7/2 - 1) = 7,5

P1(5/2) = 7,5

P1 = (2/5)*7,5 = 3