MCP๋กœ ์—ฐ๊ฒฐ โ†’

๊ณ„์‚ฐ ์ž…๋ ฅ

๊ณต์‹

๊ด‘๊ณ 

๊ฒฐ๊ณผ

์—ด์—๋„ˆ์ง€ (Q)
502,320
์ค„ (J)
ํ‚ฌ๋กœ์ค„ ๋‹จ์œ„ ์—๋„ˆ์ง€ 502.32 kJ
์˜จ๋„ ๋ณ€ํ™” (ฮ”T) 60 ยฐC

์—ด์—๋„ˆ์ง€๋ž€?

์—ด์—๋„ˆ์ง€(๋˜๋Š” ์—ด๋Ÿ‰, Q)๋Š” ์–ด๋–ค ๋ฌผ์งˆ์˜ ์˜จ๋„๋ฅผ ๋ณ€ํ™”์‹œํ‚ค๊ธฐ ์œ„ํ•ด ๋”ํ•ด์ฃผ๊ฑฐ๋‚˜ ๋นผ๋‚ด์•ผ ํ•˜๋Š” ์—๋„ˆ์ง€์˜ ์–‘์„ ๋งํ•ฉ๋‹ˆ๋‹ค. ์ด ๊ฐ’์€ ์„ธ ๊ฐ€์ง€ ์š”์†Œ์— ๋”ฐ๋ผ ๋‹ฌ๋ผ์ง‘๋‹ˆ๋‹ค. ๋ฐ”๋กœ ๋ฌผ์งˆ์˜ ์–‘(์งˆ๋Ÿ‰), ์˜จ๋„ ๋ณ€ํ™”์— ์–ผ๋งˆ๋‚˜ ์ž˜ ์ €ํ•ญํ•˜๋Š”์ง€(๋น„์—ด), ๊ทธ๋ฆฌ๊ณ  ์˜จ๋„๊ฐ€ ์–ผ๋งˆ๋‚˜ ํฌ๊ฒŒ ๋ณ€ํ•˜๋Š”์ง€์ž…๋‹ˆ๋‹ค. ์ด ๊ณ„์‚ฐ๊ธฐ๋Š” \(Q = m \cdot c \cdot \Delta T\)๋ผ๋Š” ๋ณดํŽธ์ ์ธ ๋ฌผ๋ฆฌ ๋ฒ•์น™์„ ์‚ฌ์šฉํ•˜๋ฉฐ, ์ด ๊ณต์‹์€ ์–ด๋–ค ๋ฌผ์งˆ๊ณผ ์–ด๋–ค ์ง€์—ญ์—์„œ๋„ ๋™์ผํ•˜๊ฒŒ ์ ์šฉ๋ฉ๋‹ˆ๋‹ค.

๊ณ„์‚ฐ๊ธฐ ์‚ฌ์šฉ๋ฒ•

์งˆ๋Ÿ‰์€ ํ‚ฌ๋กœ๊ทธ๋žจ(kg) ๋‹จ์œ„๋กœ, ๋น„์—ด์€ ํ‚ฌ๋กœ๊ทธ๋žจ๋‹น ์„ญ์”จ 1๋„๋ฅผ ์˜ฌ๋ฆฌ๋Š” ๋ฐ ํ•„์š”ํ•œ ์ค„(J/kgยทยฐC) ๋‹จ์œ„๋กœ ์ž…๋ ฅํ•˜๊ณ , ์ฒ˜์Œ ์˜จ๋„์™€ ๋‚˜์ค‘ ์˜จ๋„๋ฅผ ๊ฐ๊ฐ ยฐC๋กœ ๋„ฃ์–ด ์ฃผ์„ธ์š”. ๊ทธ๋Ÿฌ๋ฉด ๊ณ„์‚ฐ๊ธฐ๊ฐ€ ์˜จ๋„ ๋ณ€ํ™” \(\Delta T = T_2 - T_1\)์„ ๊ตฌํ•œ ๋’ค ์งˆ๋Ÿ‰๊ณผ ๋น„์—ด์„ ๊ณฑํ•ด, ๊ฒฐ๊ณผ๋ฅผ ์ค„(J)๊ณผ ํ‚ฌ๋กœ์ค„(kJ) ๋‘ ๋‹จ์œ„๋กœ ๋ณด์—ฌ์ค๋‹ˆ๋‹ค. ๊ฒฐ๊ณผ๊ฐ€ ์–‘์ˆ˜์ด๋ฉด ์—๋„ˆ์ง€๊ฐ€ ํก์ˆ˜๋œ ๊ฒƒ(๊ฐ€์—ด), ์Œ์ˆ˜์ด๋ฉด ์—๋„ˆ์ง€๊ฐ€ ๋ฐฉ์ถœ๋œ ๊ฒƒ(๋ƒ‰๊ฐ)์„ ์˜๋ฏธํ•ฉ๋‹ˆ๋‹ค.

๊ณต์‹ ์ž์„ธํžˆ ๋ณด๊ธฐ

$$Q = m \cdot c \cdot \Delta T$$๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์ด ๋‚˜๋ˆ„์–ด ๋ณผ ์ˆ˜ ์žˆ์Šต๋‹ˆ๋‹ค. m์€ ์งˆ๋Ÿ‰(kg), c๋Š” ๋น„์—ด, ฮ”T๋Š” ์˜จ๋„ ๋ณ€ํ™”์ž…๋‹ˆ๋‹ค. ๋Œ€ํ‘œ์ ์ธ ๋น„์—ด ๊ฐ’์œผ๋กœ๋Š” ๋ฌผ(4186 J/kgยทยฐC), ์•Œ๋ฃจ๋ฏธ๋Š„(897), ๊ตฌ๋ฆฌ(385), ๊ณต๊ธฐ(์•ฝ 1005)๊ฐ€ ์žˆ์Šต๋‹ˆ๋‹ค. ๋น„์—ด์€ ๋ฌผ์งˆ ๊ณ ์œ ์˜ ์„ฑ์งˆ์ด๊ธฐ ๋•Œ๋ฌธ์—, ๊ฐ™์€ ์˜จ๋„ ๋ณ€ํ™”๋ผ๋„ ๋ฌผ์งˆ์— ๋”ฐ๋ผ ํ•„์š”ํ•œ ์—๋„ˆ์ง€์˜ ์–‘์€ ํฌ๊ฒŒ ๋‹ฌ๋ผ์ง‘๋‹ˆ๋‹ค.

Diagram showing heat Q raising the temperature of a mass m of fluid with specific heat c, with temperature change delta T
Heat Q added to a mass m raises its temperature by ฮ”T, scaled by specific heat c.

์˜ˆ์ œ ํ’€์ด

๋ฌผ 2 kg์„ 20ยฐC์—์„œ 80ยฐC๊นŒ์ง€ ๋ฐ์šด๋‹ค๊ณ  ๊ฐ€์ •ํ•ด ๋ด…์‹œ๋‹ค. ์˜จ๋„ ๋ณ€ํ™”๋Š” \(\Delta T = 80 - 20 = 60\,ยฐC\)์ž…๋‹ˆ๋‹ค. ๋”ฐ๋ผ์„œ $$Q = 2 \times 4186 \times 60 = 502{,}320 \text{ J}$$ ์•ฝ 502.32 kJ๊ฐ€ ๋ฉ๋‹ˆ๋‹ค. ์ด๋Š” ์ž‘์€ ๋ƒ„๋น„์— ๋‹ด๊ธด ๋ฌผ์„ ๊ฑฐ์˜ ๋“๋Š”์  ๊ฐ€๊นŒ์ด ๋ฐ์šฐ๋Š” ๋ฐ ํ•„์š”ํ•œ ์—๋„ˆ์ง€์— ํ•ด๋‹นํ•ฉ๋‹ˆ๋‹ค.

Bar showing the three multiplied factors mass, specific heat and temperature change combining into total thermal energy Q
Thermal energy Q is the product of mass, specific heat, and temperature change.

์ž์ฃผ ๋ฌป๋Š” ์งˆ๋ฌธ

ฮ”T๋ฅผ ์ผˆ๋นˆ(K)์œผ๋กœ ์จ๋„ ๋˜๋‚˜์š”? ๋ฉ๋‹ˆ๋‹ค. ์„ญ์”จ 1๋„์˜ ๋ณ€ํ™”๋Š” 1 K์˜ ๋ณ€ํ™”์™€ ๊ฐ™์œผ๋ฏ€๋กœ, ์˜จ๋„ ์ฐจ์ด๋ฅผ ์„ญ์”จ๋กœ ์“ฐ๋“  ์ผˆ๋นˆ์œผ๋กœ ์“ฐ๋“  ๊ณต์‹์˜ ๊ฒฐ๊ณผ๋Š” ๋™์ผํ•ฉ๋‹ˆ๋‹ค.

์งˆ๋Ÿ‰์ด ๊ทธ๋žจ(g) ๋‹จ์œ„๋ผ๋ฉด ์–ด๋–ป๊ฒŒ ํ•˜๋‚˜์š”? ํ‚ฌ๋กœ๊ทธ๋žจ์œผ๋กœ ๋ณ€ํ™˜ํ•˜๊ฑฐ๋‚˜(1000์œผ๋กœ ๋‚˜๋ˆ„๊ธฐ), ๊ทธ๋žจ๋‹น์œผ๋กœ ํ‘œ์‹œ๋œ ๋น„์—ด์„ ์‚ฌ์šฉํ•ด ๋‹จ์œ„๋ฅผ ์ผ์น˜์‹œ์ผœ ์ฃผ์„ธ์š”.

์™œ ๊ฒฐ๊ณผ๊ฐ€ ์Œ์ˆ˜๋กœ ๋‚˜์˜ค๋‚˜์š”? Q๊ฐ€ ์Œ์ˆ˜๋ผ๋Š” ๊ฒƒ์€ ๋‚˜์ค‘ ์˜จ๋„๊ฐ€ ์ฒ˜์Œ ์˜จ๋„๋ณด๋‹ค ๋‚ฎ๋‹ค๋Š” ๋œป์œผ๋กœ, ๋ฌผ์งˆ์—์„œ ์—ด์ด ๋น ์ ธ๋‚˜๊ฐ€๊ณ  ์žˆ์Œ(๋ƒ‰๊ฐ)์„ ์˜๋ฏธํ•ฉ๋‹ˆ๋‹ค.

์ตœ์ข… ์—…๋ฐ์ดํŠธ: