Δ E_w = Q + W

c = ΔE/m⋅ΔT

<c> = J/Kg⋅°C

E_po = E_od

q_p = ΔE/m

q_t = ΔE/m

<g_t> = J/Kg

1.

E_po = E_od

ΔE = c⋅m⋅ΔT

c⋅m⋅ΔT = c⋅m⋅ΔT

2.

t₁ = 60°C

t₂ = 20°C

t = 40°C

E_po = E_od

c⋅m₂⋅ΔT₂ = c⋅m₁⋅ΔT₁

m₂⋅ΔT₂ = m₁⋅ΔT₁ // m₂ ΔT₁

m₁/m₂ = ΔT₂/ΔT₁

3.

m₁ = ?

c_t = 3,35 ⋅ 10⁵ J/kg

m₂ = 1 kg

c_s = 2,26 ⋅ 10⁶ J/kg

E_po = E_od

c_t ⋅m₁= c_s ⋅m₂

m₁ = c_s m₂/ c_t

m₁ = 2 kg

T₁ = 10°C

C₁ = 4,19 ⋅ 10³ J/kg°C

m₂ = 0,5 kg

T₂ = 100°C

C₂ = 395 J/kg°C

T₃ = ?

E_od = E_po

c₂⋅m₂⋅ΔT₂ = c₁⋅m₁⋅ΔT₁

c₂⋅m₂ (T₂ ⋅T₃)= c₁⋅m₁(T₃ ⋅T₁)

T₃ = C₂⋅m₂⋅t₂ + C₁⋅m₁⋅t₁

C₁⋅m₁ + C₂⋅m₂

4.

V= ?

t₁+O°C

P=75% T_t=327°C

C_w = 131 J/kg⋅°C

C_t = 2,5 ⋅ 10⁴ J/kg⋅°C

V = √200%/p ⋅(C_w⋅C_t)=425m/s

5.

T₁ = 20°C

T₂ = 0°C

C_t = 3,35 ⋅ 10⁵ J/kg

Cw = 4,19 ⋅ 103 J/kg⋅°C

n = m_w/m_l = C_t/C_wT₁ ≈ 4

6.

m₁ = 0,45 kg

t₁ = 17°C

m₂ = 0,015 kg

t₂ = 100°C

t₃ = 37°C

C_p = ?

C_w = 4,19 ⋅ 10³ J/kg°C

C_p = m₁⋅C_w⋅(t₃ - t₁)-m₂⋅C_w⋅(t₂ - t₃)/m₂

= 2,26 ⋅ 10⁶ J/kg°C

7.

m₁ = 2 kg

t₁ = 20°C

m₂ = 0,04 kg

t₂ = 100°C

Δt = ?

Cp = 2,26 ⋅ 10⁶ J/kg°C

T₃=m₂ (C_p +C_wt₂)+m₁C_wt₁/C_w(m₁+m₂)

= 32,14 °C

Δt = T₃ - t₁ = 21,14 °C

8.

m₁ = ?

t₁ = 0°C

m₂ = 100 kg

t₂ = 100°C

Cp = 2,26 ⋅ 10⁶ J/kg°C

C_w = 4,19 ⋅ 10³ J/kg°C

C_t = 3,35 ⋅ 10⁵ J/kg

m₁ = m₂/C_t ⋅ (C_p + 100°C⋅C_w)

= 7,99 kg

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