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Дано: t1=20°C; t2=60°C; tc=38°C; V=80 л; m1 - ? m2 - ?
Тепло, отданное горячей водой = теплу, полученному холодной.
Q1 - Q2=0
Q=c*m*Δt
m1=ρV1=1000 кг/м³ * V1 дм³=1000 кг/м³ * 0,001*V1 м³=V1 кг
1 литр воды=1 дм³; его масса 1 кг.
с*m1*Δt1=c*m2Δt2 разделим на с
m(38 - 20)=(80 - m)(60 - 38)
18m=(80-m)*22
9m=(80-m)*11
9m=880 - 11m
20m=880
m=44 кг - холодная вода.
80 - 44=36 кг - горячая вода. Это ответ.
ИЛИ
с*m1*Δt1 - cm2*Δt2=0
ρ*V1*Δt1 - ρ*V2*Δt2=0
V1*Δt1=V2Δt2
V*(38-20)=(80-V)(60-38)
V=44 литра; т.к. 80 в литрах; m1=44 кг - хол. вода.
36 кг - горячая.
Объяснение:
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