Whakaoti i te 1Cal=4.18Jule

$$1 Cal = 4.18 Jule$$

Whakaoti mō C

$$\left\{\begin{matrix}C=\frac{209eJu}{50a}\text{, }&a\neq 0\\C\in \mathrm{R}\text{, }&l=0\text{ or }\left(J=0\text{ and }a=0\right)\text{ or }\left(u=0\text{ and }a=0\right)\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakaraupapatia anō ngā kīanga tau.

$$Cal=4.18eJlu$$

He hanga arowhānui tō te whārite.

$$alC=\frac{209eJlu}{50}$$

Whakawehea ngā taha e rua ki te al.

$$\frac{alC}{al}=\frac{209eJlu}{50al}$$

Mā te whakawehe ki te al ka wetekia te whakareanga ki te al.

$$C=\frac{209eJlu}{50al}$$

Whakawehe \frac{209Jule}{50} ki te al.

$$C=\frac{209eJu}{50a}$$

Whakaoti mō J

$$\left\{\begin{matrix}J=\frac{50Ca}{209eu}\text{, }&u\neq 0\\J\in \mathrm{R}\text{, }&l=0\text{ or }\left(C=0\text{ and }u=0\right)\text{ or }\left(a=0\text{ and }u=0\right)\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$4.18Jule=1Cal$$

Whakaraupapatia anō ngā kīanga tau.

$$4.18eJlu=Cal$$

He hanga arowhānui tō te whārite.

$$\frac{209elu}{50}J=Cal$$

Whakawehea ngā taha e rua ki te 4.18ule.

$$\frac{50\times \frac{209elu}{50}J}{209elu}=\frac{50Cal}{209elu}$$

Mā te whakawehe ki te 4.18ule ka wetekia te whakareanga ki te 4.18ule.

$$J=\frac{50Cal}{209elu}$$

Whakawehe Cal ki te 4.18ule.

$$J=\frac{50Ca}{209eu}$$