Whakaoti i te V_{s}=frac{P_{m}V_{m}T_{s}}{P_{s}T_{m}}

$$V _ { s } = \frac { P _ { m } V _ { m } T _ { s } } { P _ { s } T _ { m } }$$

Whakaoti mō P_m

$$\left\{\begin{matrix}P_{m}=\frac{P_{s}T_{m}V_{s}}{T_{s}V_{m}}\text{, }&T_{s}\neq 0\text{ and }V_{m}\neq 0\text{ and }P_{s}\neq 0\text{ and }T_{m}\neq 0\\P_{m}\in \mathrm{R}\text{, }&\left(T_{s}=0\text{ or }V_{m}=0\right)\text{ and }V_{s}=0\text{ and }P_{s}\neq 0\text{ and }T_{m}\neq 0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia ngā taha e rua o te whārite ki te P_{s}T_{m}.

$$V_{s}P_{s}T_{m}=P_{m}V_{m}T_{s}$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$P_{m}V_{m}T_{s}=V_{s}P_{s}T_{m}$$

He hanga arowhānui tō te whārite.

$$T_{s}V_{m}P_{m}=P_{s}T_{m}V_{s}$$

Whakawehea ngā taha e rua ki te V_{m}T_{s}.

$$\frac{T_{s}V_{m}P_{m}}{T_{s}V_{m}}=\frac{P_{s}T_{m}V_{s}}{T_{s}V_{m}}$$

Mā te whakawehe ki te V_{m}T_{s} ka wetekia te whakareanga ki te V_{m}T_{s}.

$$P_{m}=\frac{P_{s}T_{m}V_{s}}{T_{s}V_{m}}$$

Whakaoti mō P_s

$$\left\{\begin{matrix}P_{s}=\frac{P_{m}T_{s}V_{m}}{T_{m}V_{s}}\text{, }&T_{s}\neq 0\text{ and }V_{m}\neq 0\text{ and }P_{m}\neq 0\text{ and }T_{m}\neq 0\text{ and }V_{s}\neq 0\\P_{s}\neq 0\text{, }&\left(T_{s}=0\text{ or }V_{m}=0\text{ or }P_{m}=0\right)\text{ and }V_{s}=0\text{ and }T_{m}\neq 0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe P_{s} ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te P_{s}T_{m}.

$$V_{s}P_{s}T_{m}=P_{m}V_{m}T_{s}$$

Whakaraupapatia anō ngā kīanga tau.

$$P_{s}T_{m}V_{s}=P_{m}T_{s}V_{m}$$

He hanga arowhānui tō te whārite.

$$T_{m}V_{s}P_{s}=P_{m}T_{s}V_{m}$$

Whakawehea ngā taha e rua ki te V_{s}T_{m}.

$$\frac{T_{m}V_{s}P_{s}}{T_{m}V_{s}}=\frac{P_{m}T_{s}V_{m}}{T_{m}V_{s}}$$

Mā te whakawehe ki te V_{s}T_{m} ka wetekia te whakareanga ki te V_{s}T_{m}.

$$P_{s}=\frac{P_{m}T_{s}V_{m}}{T_{m}V_{s}}$$

Tē taea kia ōrite te tāupe P_{s} ki 0.

$$P_{s}=\frac{P_{m}T_{s}V_{m}}{T_{m}V_{s}}\text{, }P_{s}\neq 0$$