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Make [tex]\( P_2 \)[/tex] the subject of the following equation: [tex]\( P_1 V_1 = P_2 V_2 \)[/tex].

Type your formula here:
[tex]\[ P_2 = \frac{P_1 V_1}{V_2} \][/tex]

The following symbols may be useful: [tex]\( P_1 \)[/tex], [tex]\( P_2 \)[/tex], [tex]\( V_1 \)[/tex], [tex]\( V_2 \)[/tex].

Sagot :

GinnyAnswer
To make [tex]\( P_2 \)[/tex] the subject of the equation [tex]\( P_1 V_1 = P_2 V_2 \)[/tex], follow these steps:

1. Start with the given equation:
[tex]\[ P_1 V_1 = P_2 V_2 \][/tex]

2. To isolate [tex]\( P_2 \)[/tex], divide both sides of the equation by [tex]\( V_2 \)[/tex]:
[tex]\[ \frac{P_1 V_1}{V_2} = \frac{P_2 V_2}{V_2} \][/tex]

3. On the right side, the [tex]\( V_2 \)[/tex] terms cancel out:
[tex]\[ \frac{P_1 V_1}{V_2} = P_2 \][/tex]

4. Rewrite the equation with [tex]\( P_2 \)[/tex] as the subject:
[tex]\[ P_2 = \frac{P_1 V_1}{V_2} \][/tex]

So, the expression for [tex]\( P_2 \)[/tex] is:
[tex]\[ P_2 = \frac{P_1 V_1}{V_2} \][/tex]
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