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2.5 కిలోల బరువున్న ఉక్కు పాత్ర యొక్క ఉష్ణోగ్రత 10 డిగ్రీలు పెరిగితే దాని ఉష్ణ సామర్థ్యాన్ని కనుగొనండి. ఉక్కు యొక్క నిర్దిష్ట ఉష్ణ సామర్థ్యం 500 Jkg-1K-1.

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  1. 200 Jkg-1K-1
  2. 1,250 JK-1
  3. 125 JK-1
  4. 20 Jkg-1K-1

Answer (Detailed Solution Below)

Option 2 : 1,250 JK-1
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Detailed Solution

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భావన:

ఉష్ణ శక్తి పొందడం లేదా కోల్పోవడం:

  • వస్తువు పొందిన లేదా కోల్పోయే ఉష్ణ శక్తి దాని ద్రవ్యరాశి, స్వభావం మరియు దాని ఉష్ణోగ్రతలో మార్పుపై ఆధారపడి ఉంటుంది.
  • గణితశాస్త్రపరంగా, దీనిని క్రింది విధంగా సూచించవచ్చు:

Q = m × c × ΔT

Q = ఉష్ణ లాభం లేదా నష్టం, m = ద్రవ్యరాశి, c = నిర్దిష్ట వేడి, ΔT = ఉష్ణోగ్రతలో మార్పు

ఉష్ణ సామర్థ్యం:

  • ఉష్ణ సామర్ధ్యం లేదా థర్మల్ కెపాసిటీ అనేది పదార్థం యొక్క భౌతిక లక్షణం, దాని ఉష్ణోగ్రతలో యూనిట్ మార్పును ఉత్పత్తి చేయడానికి ఒక వస్తువుకు సరఫరా చేయాల్సిన వేడి మొత్తంగా నిర్వచించబడింది.
  • ఉష్ణ సామర్థ్యం యొక్క SI యూనిట్ జూల్ పర్ కెల్విన్ (J/K).

గణన:

ఇచ్చినది:

ద్రవ్యరాశి, m = 2.5 kg, ΔT = 10°C, నిర్దిష్ట ఉష్ణ సామర్థ్యం, c = 500 Jkg-1K-1

ఉష్ణ సామర్థ్యం = m × c = 2.5 × 500 = 1,250 JK-1

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