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en/5.6.29.md
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| + | ### Statement | ||
| + | |||
| + | $5.6.29.$ [Insert the problem statement] | ||
| + | |||
| + | ### 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\ | ||
| + | $TV=const$\ | ||
| + | since n and R are constant\ | ||
| + | $T=\frac{const}{V}$\ | ||
| + | so, T is inversely proportional to V, if V increases, T decreases | ||
| + | |||
| + | #### Answer | ||
| + | |||
| + | [Insert a concise answer or boxed result] | ||
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| ### Statement | |||
| $5.6.29.$ [Insert the problem statement] | |||
| ### 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\ | |||
| $TV=const$\ | |||
| since n and R are constant\ | |||
| $T=\frac{const}{V}$\ | |||
| so, T is inversely proportional to V, if V increases, T decreases | |||
| #### Answer | |||
| [Insert a concise answer or boxed result] | |||