Answer:
235.45 cm³
Step-by-step explanation:
From the question given above, the following data were obtained:
Initial volume (V₁) = 220 cm³
Initial temperature (T₁) = 26 °C
Final temperature (T₂) = 47 °C
Pressure = constant
Final volume (V₂) =?
Next, we shall convert celsius temperature to Kelvin temperature. This can be obtained as follow:
T(K) = T(°C) + 273
Initial temperature (T₁) = 26 °C
Initial temperature (T₁) = 26 °C + 273
Initial temperature (T₁) = 299 K
Final temperature (T₂) = 47 °C
Final temperature (T₂) = 47 °C + 273
Final temperature (T₂) = 320 K
Finally, we shall determine the volume (i.e V₂) at 47 °C as follow:
Initial volume (V₁) = 220 cm³
Initial temperature (T₁) = 299 K
Final temperature (T₂) = 320 K
Final volume (V₂) =?
V₁ / T₁ = V₂ / T₂
220 / 299 = V₂ / 320
Cross multiply
299 × V₂ = 220 × 320
299 × V₂ = 70400
Divide both side by 299
V₂ = 70400 / 299
V₂ = 235.45 cm³
Thus, the volume at 47 °C is 235.45 cm³