• Pixel-art Vaporelle, the Latent Spirit, on a black mug with the slogan "HEATING: 419 kJ. LEAVING: 2257 kJ."

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Vaporelle, the Latent Spirit Mug

\[Q = m c \,\Delta T\]
常规价格 $21.99 USD
常规价格 促销价 $21.99 USD
促销 售罄
Size

Heating water from 0 to 100 °C takes about 419 kJ/kg; vaporising it takes about 2257 kJ/kg.

The joke: Leaving costs more than heating; quitting the PhD is a phase change. The slogan on the mug reads HEATING: 419 kJ. LEAVING: 2257 kJ.

Source: IAPWS-95 via NIST Chemistry WebBook (hl 0.01→99.97 °C = 419.0 kJ/kg; Lv at 101.325 kPa = 2256.4 kJ/kg).

Shipping calculated at checkout by destinationMade to order, ships in ~10 days

Details

Size & material11oz · 15oz

Black glossy ceramic mug with a C-handle. Lead- and BPA-free.

  • 11oz: 0.33 l
  • 15oz: 0.44 l
CareDishwasher & microwave safe

Dishwasher safe (top rack) or hand wash. Microwave safe.

ShippingBy destination

Shipping calculated at checkout by destination.

Made to order: about 10 days of production and handling before it ships.

Delivery times & where we ship

Returns & replacements21 days

Every item is printed to order, so we can’t accept returns or exchanges for change of mind, or if you ordered the wrong size or colour.

Print defect, misprint, damage or the wrong item? We’ll send a free replacement, or a refund if you prefer. Report it within 21 days of delivery with a photo; no need to send it back.

Full refund & replacement policy

The physics

Heating water from 0 to 100 °C takes about 419 kJ/kg; vaporising it takes about 2257 kJ/kg.

The joke: Leaving costs more than heating; quitting the PhD is a phase change. The slogan on the mug reads HEATING: 419 kJ. LEAVING: 2257 kJ.

Source: IAPWS-95 via NIST Chemistry WebBook (hl 0.01→99.97 °C = 419.0 kJ/kg; Lv at 101.325 kPa = 2256.4 kJ/kg).

Equations

\[Q = m c \,\Delta T\]
\[Q = m L_v\]
Symbols
SymbolMeaningUnit
\(Q\) heat \(\mathrm{J}\)
\(m\) mass \(\mathrm{kg}\)
\(c\) specific heat capacity (isobaric, c_p) \(\mathrm{J kg⁻¹ K⁻¹}\)
\(\Delta T\) temperature change, T_2 − T_1 \(\mathrm{K}\)
\(L_v\) specific latent heat of vaporisation \(\mathrm{J kg⁻¹}\)
\(Note\) the mug's figures are per kg of water: 419 kJ ≈ c·ΔT for 0→100 °C (≈ 4.19 kJ kg⁻¹ K⁻¹ × 100 K), 2257 kJ = L_v at 100 °C \(\mathrm{kJ/kg}\)