Edits to “Statement”, “Solution”, “Answer”
en/5.6.29.md
+3 −3
| @@ -1,6 +1,6 @@ | |||
| ### Statement | |||
| − | $5.6.29.$ | ||
| + | $5.6.29.$ Does the gas expanding according to the law $PV^2=const$ heat up or cool down? | ||
| ### Solution | |||
| Assuming we're working with ideal gases\ | |||
| If the gas is expanding according the law\ | |||
| $PV^2=const$\ | |||
| From the ideal gas law we have\ | |||
| $PV=nRT$\ | |||
| $P=\frac{nRT}{V}$\ | |||
| and substituting this into the given law, we get\ | |||
| @@ -14,8 +14,8 @@Solution | |||
| $TV=const$\ | |||
| since n and R are constant\ | |||
| $T=\frac{const}{V}$\ | |||
| − | so, T is inversely proportional to V, if V increases, T decreases | ||
| + | so, T is inversely proportional to V, if V increases, T decreases, therefore, the gas cools down | ||
| #### Answer | |||
| − | |||
| + | The gas cools down | ||
| @@ -1,6 +1,6 @@ | |||
| ### Statement | ### Statement | ||
| $5.6.29.$ |
$5.6.29.$ Does the gas expanding according to the law $PV^2=const$ heat up or cool down? | ||
| ### Solution | ### Solution | ||
| Assuming we're working with ideal gases\ | Assuming we're working with ideal gases\ | ||
| If the gas is expanding according the law\ | If the gas is expanding according the law\ | ||
| $PV^2=const$\ | $PV^2=const$\ | ||
| From the ideal gas law we have\ | From the ideal gas law we have\ | ||
| $PV=nRT$\ | $PV=nRT$\ | ||
| $P=\frac{nRT}{V}$\ | $P=\frac{nRT}{V}$\ | ||
| and substituting this into the given law, we get\ | and substituting this into the given law, we get\ | ||
| @@ -14,8 +14,8 @@Solution | |||
| $TV=const$\ | $TV=const$\ | ||
| since n and R are constant\ | since n and R are constant\ | ||
| $T=\frac{const}{V}$\ | $T=\frac{const}{V}$\ | ||
| so, T is inversely proportional to V, if V increases, T decreases | so, T is inversely proportional to V, if V increases, T decreases, therefore, the gas cools down | ||
| #### Answer | #### Answer | ||
| The gas cools down | |||