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une pression subite de 10 atmosphères sur l'eau est incapable d'élever sa température de 1/50 de degré centigrade.

CHALEUR SPÉCIFIQUE.

322. Unité de chaleur. On appelle unité de chaleur ou calorie, la quantité de chaleur nécessaire pour élever la température d'un kilogramme d'eau de 0° à 1o (page 557).

523. Chaleur spécifique. La chaleur spécifique ou capacité calorifique d'un corps est le nombre d'unités de chaleur nécessaire pour élever d'un degré la température d'un kilogramme de ce corps (328).

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Tableau des chaleurs spécifiques de quelques corps, de 0° à 100o,
d'après M. Regnault.

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Pour un même corps, la chaleur spécifique est plus grande à l'état liquide qu'à l'état solide:

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La chaleur spécifique d'un même corps est à peu près constante pour des températures inférieures à 100°; mais au-dessus elle croît sensiblement avec la température, et surtout au point où le corps commence à se ramollir. La chaleur spécifique d'un même corps diminue à mesure que l'état d'agrégation de ce corps devient plus grand. Cependant Dulong, en comparant les chaleurs spécifiques des corps simples aux poids atomiques de ces mêmes corps, a posé la loi : Les chaleurs spécifiques des corps simples sont en raison inverse de leurs poids atomiques; d'où il résulte que les produits des chaleurs spécifiques par les poids atomiques sont un nombre constant; c'est en effet ce que vérifient sensiblement les résultats donnés par l'expérience.

Neumann a posé une loi semblable à la précédente pour les corps composés; elle est : Pour chaque classe des corps composés ayant la même composition atomique et de constitution chimique semblable, les chaleurs spécifiques sont en raison inverse des poids atomiques. Cette loi a été vérifiée par les expériences de M. Regnault, desquelles il résulte aussi que la chaleur spécifique d'un alliage est sensiblement la somme des quantités de chaleur nécessaires pour élever séparément de 1o la température de chaque quantité de métal qui entre dans 1 kilog. de l'alliage.

M. Regnault a fait des expériences pour déterminer la chaleur spécifique de l'eau à différentes températures. A l'aide de ses résultats, il a calculé une formule d'interpolation qui donne le nombre Q d'unités de chaleur absorbées par 1 kilog. d'eau quand on porte sa température de 0° à T°, en appelant unité de chaleur la chaleur qu'absorbe 1 kilog. d'eau à 0° pour s'échauffer de 1o.

Cette formule est

Q=T+AT+ BT3.

(a)

A=0,000 02 et B=0,000 000 3 constantes déterminées pour les valeurs d'expérience Q=100,5 et Q=203,3, qui correspondent à T=100° et T=200°.

La formule précédente revient donc à

Q=T+0,00002T2 + 0,000000 3T3.

La quantité de chaleur que 1 kilog. d'eau absorbe quand sa température passe de T° à (T + 1)°; en supposant que pour chaque élément dT de ce degré l'absorption de chaleur soit la même, est donnée par la formule

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tion (a), c'est-à-dire à la courbe dont les abscisses sont aux ordonnées correspondantes dans le rapport de T à Q, au point correspondant à la valeur de T (page 532).

C'est à l'aide de ces deux formules qu'a été calculé le tableau suivant, dont les résultats sont donnés par les températures de 10° en 10° à partir de 0°.

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524. Chaleur spécifique des gaz et des vapeurs. La chaleur spécifique d'un gaz n'est pas la même suivant que ce gaz, en changeant de température, peut changer de volume de manière à rester à une pression constante, ou selon qu'il conserve le mème volume malgré la variation de température, qui change alors sa force élastique.

C'est la chaleur spécifique sous pression constante qui se rapporte à la définition donnée pour la chaleur spécifique des solides et des liquides, et c'est la seule qui ait pu jusqu'à présent être déterminée directement par l'expérience.

D'après les expériences de M. Regnault, la chaleur spécifique de l'air à pression constante ne varierait pas avec la température, et il paraît en être de même avec la pression depuis une jusqu'à dix atmosphères. Plusieurs autres gaz soumis à l'expérience ont donné des résultats analogues.

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